Handbook of the History of General Topology
This volume mainly focuses on various comprehensive topological theories, with the exception of a paper on combinatorial topology versus point-set topology by I.M. James and a paper on the history of the normal Moore space problem by P. Nyikos. The history of the following theories is given: pointfree topology, locale and frame theory (P. Johnstone), non-symmetric distances in topology (H.-P. Künzi), categorical topology and topological constructs (E. Lowen-Colebunders and B. Lowen), topological groups (M. G. Tkacenko) and finally shape theory (S. Mardesic and J. Segal). Together with the first two volumes, this work focuses on the history of topology, in all its aspects. It is unique and presents important views and insights into the problems and development of topological theories and applications of topological concepts, and into the life and work of topologists. As such, it will encourage not only further study in the history of the subject, but also further mathematical research in the field. It is an invaluable tool for topology researchers and topology teachers throughout the mathematical world.
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Elements of the History of Locale Theory 835
Supercategories of Top and the Inevitable Emergence
Topological Features of Topological Groups
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Handbook of the History of General Topology, Volum 3
C.E. Aull,R. Lowen
Previsualització limitada - 1997
Abelian group Abelian topological group Acad admits algebraic Amer Math approach spaces Aronszajn tree axioms bicomplete bitopological called cardinal cartesian closed cartesian closed topological Cauchy filter characterization closed subgroup collectionwise compact spaces compact topological group compactification completely regular space concept continuous maps convergence countably compact defined dimension embedded equivalent example exists extension finite Fletcher and Lindgren free topological groups functor group F(X group G Hausdorff Hausdorff space hereditarily Herrlich homeomorphic homotopy hyperspaces K-complete Künzi lattice Lindelöf locally compact group Lowen M-equivalent metric spaces metrizable Moore space morphisms neighborhood normal Moore space o-compact open sets ordered spaces pairwise paper paracompact problem Proc properties proved pseudocompact pseudometric quasi-metric spaces quasi-proximity quasi-pseudometric space quasi-uniform spaces quotient group resp result Romaguera Russian shape theory showed structure subsets subspace Theorem topological construct topological hull topological space Topology Appl totally bounded uniform spaces Univ zero-dimensional