Results 1 to 10 of about 954,262 (26)
Precompact Apartness Spaces [PDF]
Logical Methods in Computer Science, 2012 We present a notion of precompactness, and study some of its properties, in the context of apartness spaces whose apartness structure is not necessarily induced by any uniform one. The presentation lies entirely with a Bishop-style constructive framework,
Douglas S Bridges
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Round and sleek topological spaces [PDF]
arXiv, 2022 In this paper, we introduce round and sleek topological spaces and study their properties.
arxiv
Banach-Mazur game and open mapping theorem [PDF]
Topology and its Applications 2022, 2022 We discuss a variant of the Banach-Mazur game which has applications to topological open mapping and closed graph theorems.
arxiv
No Subgroup Theorem for the Covering Dimension of Topological Groups [PDF]
arXiv, 2023 A strongly zero-dimensional topological group containing a closed subgroup of positive covering dimension is constructed.
arxiv
Multivalued Functions in Digital Topology [PDF]
arXiv, 2017 We study several types of multivalued functions in digital topology.
arxiv
arXiv, 2003 This is the second issue of the SPM Bulletin (SPM stands for "Selection Principles in Mathematics"). The first issue is math.GN/0301011 and contains some background and details.
arxiv
Topological characterization of torus groups [PDF]
Topology Appl. 94 (1999), 13-25, 1999 Topological characterization of torus groups is given.
arxiv
Selective survey on spaces of closed subgroups of topological groups [PDF]
arXiv, 2018 We survey different topologizations of the set $\mathcal{S}(G)$ of all closed subgroups of a topological group $G$ and demonstrate some applications in Topological Grous, Model Theory, Geometric Group Theory, Topological Dynamics.
arxiv
Characterizing the topology of pseudo-boundaries of Euclidean spaces [PDF]
arXiv, 1999 We give a topological characterization of the n-dimensional pseudo-boundary of the (2n+1)-dimensional Euclidean space.
arxiv