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ORCIDDouglas S. Bridges
Douglas Suth Bridges
Person information
- affiliation: University of Canterbury, Christchurch, New Zealand
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Books and Theses
- 2011
[b3]Douglas S. Bridges, Luminita Simona Vîta:
Apartness and Uniformity - A Constructive Development. Theory and Applications of Computability, Springer 2011, ISBN 978-3-642-22414-0, pp. 1-182- 1998
- [b2]Douglas S. Bridges:
Foundations of real and abstract analysis. Graduate texts in mathematics 174, Springer 1998, ISBN 978-0-387-98239-7, pp. I-XIV, 1-322 - 1994
- [b1]Douglas S. Bridges:
Computability: a mathematical sketchbook. Graduate texts in mathematics 146, Springer 1994, ISBN 3540941746, pp. I-IX, 1-178
Journal Articles
- 2025
- [j83]Josef Berger, Douglas S. Bridges, Hannes Diener, Helmut Schwichtenberg:
Constructive aspects of Riemann's permutation theorem for series. Log. J. IGPL 33(1): 49-61 (2025) - 2022
- [j82]Douglas S. Bridges:
Morse set theory as a foundation for constructive mathematics. Theor. Comput. Sci. 928: 115-135 (2022) - 2016
- [j81]Douglas S. Bridges:
Apartness spaces and uniform neighbourhood structures. Ann. Pure Appl. Log. 167(9): 850-864 (2016) - [j80]Douglas S. Bridges, Matthew Hendtlass, Erik Palmgren:
A constructive examination of rectifiability. J. Log. Anal. 8 (2016) - [j79]Douglas S. Bridges, James E. Dent, Maarten McKubre-Jordens:
Z-stability in Constructive Analysis. Log. Methods Comput. Sci. 12(3) (2016) - 2014
- [j78]Douglas Suth Bridges:
Locating Ax, where A is a subspace of B(H). Log. Methods Comput. Sci. 10(2) (2014) - 2013
- [j77]Douglas S. Bridges:
Characterising dominated weak-operator continuous functionals on subspaces of B(H). Ann. Pure Appl. Log. 164(4): 416-420 (2013) - [j76]Douglas S. Bridges, Luminita Simona Vîta:
A first constructive look at the comparison of projections. Log. J. IGPL 21(1): 14-27 (2013) - [j75]Douglas S. Bridges, James E. Dent, Maarten McKubre-Jordens:
Two direct proofs that LLPO implies the detachable fan theorem. Log. J. IGPL 21(5): 830-835 (2013) - [j74]Douglas S. Bridges, Maarten McKubre-Jordens:
Solving the Dirichlet problem constructively. J. Log. Anal. 5 (2013) - [j73]Douglas S. Bridges, Hajime Ishihara, Maarten McKubre-Jordens:
Uniformly convex Banach spaces are reflexive - constructively. Math. Log. Q. 59(4-5): 352-356 (2013) - 2012
- [j72]Douglas S. Bridges:
Compactness notions for an apartness space. Arch. Math. Log. 51(5-6): 517-534 (2012) - [j71]Douglas S. Bridges:
Reflections on function spaces. Ann. Pure Appl. Log. 163(2): 101-110 (2012) - [j70]Douglas S. Bridges:
Almost new pre-apartness from old. Ann. Pure Appl. Log. 163(8): 1009-1015 (2012) - [j69]Douglas S. Bridges:
Precompact Apartness Spaces. Log. Methods Comput. Sci. 8(2) (2012) - [j68]Josef Berger, Douglas S. Bridges, Erik Palmgren:
Double sequences, almost Cauchyness and BD-N. Log. J. IGPL 20(1): 349-354 (2012) - [j67]Douglas S. Bridges:
How to construct a product of a-frames. Math. Log. Q. 58(4-5): 281-293 (2012) - 2011
- [j66]Douglas S. Bridges:
Omniscience, sequential compactness, and the anti-Specker property. Log. J. IGPL 19(1): 53-61 (2011) - [j65]Douglas S. Bridges:
The anti-Specker property, uniform sequential continuity, and a countable compactness property. Log. J. IGPL 19(1): 174-182 (2011) - [j64]Douglas S. Bridges:
Locating subsets of B(H) relative to seminorms inducing the strong-operator topology. J. Log. Anal. 3 (2011) - 2010
- [j63]Douglas S. Bridges, Iris Loeb:
Glueing continuous functions constructively. Arch. Math. Log. 49(5): 603-616 (2010) - [j62]Douglas S. Bridges:
Continuity and Lipschitz constants for projections. J. Log. Algebraic Methods Program. 79(1): 2-9 (2010) - [j61]Douglas S. Bridges, Matthew Hendtlass:
Continuous isomorphisms from R onto a complete abelian group. J. Symb. Log. 75(3): 930-944 (2010) - [j60]Josef Berger, Douglas S. Bridges:
A Constructive Study of Landau's Summability Theorem. J. Univers. Comput. Sci. 16(18): 2523-2534 (2010) - [j59]Douglas S. Bridges, Matthew Hendtlass:
Continuous homomorphisms of R onto a compact group. Math. Log. Q. 56(2): 191-197 (2010) - [j58]Douglas S. Bridges, Hannes Diener
:
The anti-Specker property, positivity, and total boundedness. Math. Log. Q. 56(4): 434-441 (2010) - 2009
- [j57]Douglas S. Bridges:
Constructive notions of equicontinuity. Arch. Math. Log. 48(5): 437-448 (2009) - [j56]Josef Berger, Douglas S. Bridges:
Rearranging Series Constructively. J. Univers. Comput. Sci. 15(17): 3160-3168 (2009) - 2008
- [j55]Josef Berger, Douglas S. Bridges:
The anti-Specker property, a Heine-Borel property, and uniform continuity. Arch. Math. Log. 46(7-8): 583-592 (2008) - [j54]Douglas S. Bridges, Luminita Vîta:
Proximal Connectedness. Fundam. Informaticae 83(1-2): 25-34 (2008) - [j53]Douglas S. Bridges, Robin Havea:
Constructive Notions of Maximality for Ideals. J. Univers. Comput. Sci. 14(22): 3648-3657 (2008) - [j52]Douglas S. Bridges:
Product a-frames and proximity. Math. Log. Q. 54(1): 12-26 (2008) - [j51]Marian Alexandru Baroni, Douglas S. Bridges:
Continuity properties of preference relations. Math. Log. Q. 54(5): 454-459 (2008) - [j50]Douglas S. Bridges:
Uniform Continuity Properties of Preference Relations. Notre Dame J. Formal Log. 49(1): 97-106 (2008) - [j49]Douglas S. Bridges, Hajime Ishihara, Peter M. Schuster, Luminita Vîta:
Apartness, compactness and nearness. Theor. Comput. Sci. 405(1-2): 3-10 (2008) - 2007
- [j48]Douglas S. Bridges:
Constructing local optima on a compact interval. Arch. Math. Log. 46(2): 149-154 (2007) - [j47]Douglas S. Bridges, Hannes Diener:
The pseudocompactness of [0, 1] is equivalent to the uniform continuity theorem. J. Symb. Log. 72(4): 1379-1384 (2007) - 2006
- [j46]Josef Berger, Douglas S. Bridges:
A Bizarre Property Equivalent to the Pi10-Fan Theorem. Log. J. IGPL 14(6): 867-871 (2006) - [j45]Douglas S. Bridges, Robin Havea, Peter Schuster:
Ideals in constructive Banach algebra theory. J. Complex. 22(6): 729-737 (2006) - [j44]Douglas S. Bridges, Luminita Simona Vîta:
Pre-apartness structures on spaces of functions. J. Complex. 22(6): 881-893 (2006) - [j43]Josef Berger, Douglas S. Bridges, Peter Schuster:
The fan theorem and unique existence of maxima. J. Symb. Log. 71(2): 713-720 (2006) - [j42]Douglas S. Bridges, Hannes Diener:
A constructive treatment of Urysohn's Lemma in an apartness space. Math. Log. Q. 52(5): 464-469 (2006) - 2005
- [j41]Douglas S. Bridges, Hajime Ishihara, Peter Schuster, Luminita Vîta:
Strong continuity implies uniform sequential continuity. Arch. Math. Log. 44(7): 887-895 (2005) - [j40]Douglas S. Bridges:
A Weak Constructive Sequential Compactness Property and the Fan Theorem. Log. J. IGPL 13(2): 151-158 (2005) - 2004
- [j39]Douglas S. Bridges, Luminita Vîta:
Corrigendum to "A proof - technique in uniform space theory". J. Symb. Log. 69(1): 328 (2004) - [j38]Douglas S. Bridges:
Constructive complements of unions of two closed sets. Math. Log. Q. 50(3): 293-294 (2004) - [j37]Douglas S. Bridges:
First steps in constructive game theory. Math. Log. Q. 50(4-5): 501-506 (2004) - 2003
- [j36]Douglas S. Bridges, Luminita Vîta:
Apartness spaces as a framework for constructive topology. Ann. Pure Appl. Log. 119(1-3): 61-83 (2003) - [j35]Douglas S. Bridges, Luminita Vîta:
A proof-technique in uniform space theory. J. Symb. Log. 68(3): 795-802 (2003) - [j34]Douglas S. Bridges, Luminita Vîta:
Strong and Uniform Continuity - the Uniform Space Case. LMS J. Comput. Math. 6: 326-334 (2003) - [j33]Luminita Vîta, Douglas S. Bridges:
A constructive theory of point-set nearness. Theor. Comput. Sci. 305(1-3): 473-489 (2003) - 2002
- [j32]Douglas S. Bridges:
Reality and Virtual Reality in Mathematics. Bull. EATCS 78: 221-230 (2002) - [j31]Douglas S. Bridges, Peter Schuster, Luminita Vîta:
Apartness, Topology, and Uniformity: a Constructive View. Math. Log. Q. 48(S1): 16-28 (2002) - [j30]Douglas S. Bridges, Nicholas Dudley Ward:
Kernels of seminorms in constructive analysis. Theor. Comput. Sci. 284(2): 259-267 (2002) - 2001
- [j29]Douglas S. Bridges, Ayan Mahalanobis:
Increasing, Nondecreasing, and Virtually Continuous Functions. J. Autom. Lang. Comb. 6(2): 139-143 (2001) - [j28]Douglas S. Bridges, Ayan Mahalanobis:
Bounded Variation Implies Regulated: A Constructive Proof. J. Symb. Log. 66(4): 1695-1700 (2001) - [j27]Douglas S. Bridges, Robin Havea:
A Constructive Version of the Spectral Mapping Theorem. Math. Log. Q. 47(3): 299-304 (2001) - [j26]Douglas S. Bridges, Luminita Vîta:
Characterising Near Continuity Constructively. Math. Log. Q. 47(4): 535-538 (2001) - 2000
- [j25]Douglas S. Bridges, Robin Havea:
A Constructive Analysis of a Proof that the Numerical Range is Convex. LMS J. Comput. Math. 3: 191-206 (2000) - [j24]Douglas S. Bridges, Ayan Mahalanobis:
Sequential Continuity of Functions in Constructive Analysis. Math. Log. Q. 46(1): 139-143 (2000) - 1999
- [j23]Douglas S. Bridges, Fred Richman, Peter Schuster:
Linear Independence without Choice. Ann. Pure Appl. Log. 101(1): 95-10 (1999) - [j22]Douglas S. Bridges, Luminita Dediu:
Weak Continuity Properties in Constructive Analysis. Log. J. IGPL 7(3): 277-281 (1999) - [j21]Douglas S. Bridges:
Can Constructive Mathematics be Applied in Physics? J. Philos. Log. 28(5): 439-453 (1999) - [j20]Douglas S. Bridges, Luminita Dediu:
Weak-operator Continuity and the Existence Of Adjoints. Math. Log. Q. 45: 203-206 (1999) - [j19]Douglas S. Bridges:
Constructive Mathematics: A Foundation for Computable Analysis. Theor. Comput. Sci. 219(1-2): 95-109 (1999) - 1998
- [j18]Douglas S. Bridges, Ray Mines:
Sequentially Continuous Linear Mappings in Constructive Analysis. J. Symb. Log. 63(2): 579-583 (1998) - [j17]Douglas S. Bridges, Hajime Ishihara:
A Definitive Constructive Open Mapping Theorem? Math. Log. Q. 44: 545-552 (1998) - 1997
- [j16]Douglas S. Bridges, Luminita Dediu:
Paradise lost, or paradise regained?. Bull. EATCS 63 (1997) - [j15]Douglas S. Bridges, Cristian Calude, Michael J. Dinneen, Bakhadyr Khoussainov:
Logic in Computer Science. J. Univers. Comput. Sci. 3(11): 1133 (1997) - [j14]Douglas S. Bridges, Wang Yuchuan:
Constructive Aspects of the Dirichlet Problem. J. Univers. Comput. Sci. 3(11): 1148-1161 (1997) - 1995
- [j13]Douglas S. Bridges:
Constructive mathematics and unbounded operators - A reply to Hellman. J. Philos. Log. 24(5): 549-561 (1995) - 1994
- [j12]Douglas S. Bridges, Hajime Ishihara:
Complements of Intersections in Constructive Mathematics. Math. Log. Q. 40: 35-43 (1994) - [j11]Douglas S. Bridges, Hajime Ishihara:
Absolute Continuity and the Uniqueness of the Constructive Functional Calculus. Math. Log. Q. 40: 519-527 (1994) - [j10]Douglas S. Bridges, Cristian Calude:
On Recursive Bounds for the Exceptional Values in Speed-Up. Theor. Comput. Sci. 132(2): 387-394 (1994) - 1993
- [j9]Douglas S. Bridges:
Sequential, Pointwise, and Uniform Continuity: A Constructive Note. Math. Log. Q. 39: 55-61 (1993) - [j8]Douglas S. Bridges:
Constructive Notions of Strict Convexity. Math. Log. Q. 39: 295-300 (1993) - 1989
- [j7]Douglas S. Bridges, William Julian, Ray Mines:
A Constructive Treatment of Open and Unopen Mapping Theorems. Math. Log. Q. 35(1): 29-43 (1989) - [j6]Douglas S. Bridges:
A General Constructive Intermediate Value Theorem. Math. Log. Q. 35(5): 433-435 (1989) - 1979
- [j5]Douglas S. Bridges:
On the Constructive Convergence of Series of Independent Functions. Math. Log. Q. 25(3-6): 93-96 (1979) - [j4]Douglas S. Bridges:
A Criterion for Compactness in Metric Spaces? Math. Log. Q. 25(7-12): 97-98 (1979) - [j3]Douglas S. Bridges:
Geometric Intuition and Elementary Constructive Analysis. Math. Log. Q. 25(33): 521-523 (1979) - 1978
- [j2]Douglas S. Bridges:
A Note on Morse's Lambda-Notation in Set Theory. Math. Log. Q. 24(8): 113-114 (1978) - [j1]Douglas S. Bridges:
On Weak Operator Compactness of the Unit Ball of L(H). Math. Log. Q. 24(31-36): 493-494 (1978)
Conference and Workshop Papers
- 2012
- [c13]Douglas S. Bridges, Luminita Vîta:
Constructing the Infimum of Two Projections. Computation, Physics and Beyond 2012: 46-58 - [c12]Douglas S. Bridges, Robin Havea:
Square Roots and Powers in Constructive Banach Algebra Theory. CiE 2012: 68-77 - 2009
- [c11]Josef Berger, Douglas S. Bridges:
A Constructive Study of Landau's Summability Theorem. CCA 2009 - 2007
- [c10]Douglas S. Bridges:
Colocatedness and Lebesgue Integrability. CiE 2007: 98-104 - [c9]Marian Alexandru Baroni, Douglas S. Bridges:
Continuity Properties of Preference Relations. CCA 2007: 19-25 - 2005
- [c8]Douglas S. Bridges, Robin Havea, Peter Schuster:
Ideals in Constructive Banach Algebra Theory. CCA 2005: 65-75 - [c7]Douglas S. Bridges, Luminita Vîta:
An Extension Theorem for Ultraweakly Continuous Linear Functionals on B(X, Y). CCA 2005: 77-89 - [c6]Douglas S. Bridges, Luminita Vîta:
Proximal Connectedness. CCA 2005: 91-101 - 2004
- [c5]Douglas S. Bridges, Luminita Vîta:
A General Constructive Proof Technique. CCA 2004: 31-43 - 2002
- [c4]Douglas S. Bridges, Hajime Ishihara, Peter Schuster:
Compactness and Continuity, Constructively Revisited. CSL 2002: 89-102 - 2001
- [c3]Douglas S. Bridges:
Dini's Theorem: A Constructive Case Study. DMTCS 2001: 69-80 - [c2]Peter Schuster, Luminita Vîta, Douglas S. Bridges:
Apartness as a Relation Between Subsets. DMTCS 2001: 203-214 - 1999
- [c1]Luminita Dediu, Douglas S. Bridges:
Constructive Notes on Uniform and Locally Convex Spaces. FCT 1999: 195-203
Parts in Books or Collections
- 2005
- [p3]Errett Bishop, Douglas S. Bridges:
Introduction. From sets and types to topology and analysis 2005 - [p2]Douglas S. Bridges, Robin Havea:
Approximations to the numerical range of an element of a Banach algebra. From sets and types to topology and analysis 2005 - [p1]Douglas S. Bridges, Luminita Vîta:
The constructive uniqueness of the locally convex topology on rn. From sets and types to topology and analysis 2005
Editorship
- 1996
- [e1]Douglas S. Bridges, Cristian S. Calude, Jeremy Gibbons, Steve Reeves, Ian H. Witten:
First Conference of the Centre for Discrete Mathematics and Theoretical Computer Science, DMTCS 1996, Auckland, New Zealand, December, 9-13, 1996. Springer-Verlag, Singapore 1996, ISBN 981-3083-14-X [contents]
Informal and Other Publications
- 2005
- [i1]Douglas S. Bridges, Hajime Ishihara, Peter Schuster, Luminita Vîta:
Compactness in apartness spaces? Spatial Representation 2005
Coauthor Index
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