General Topology : : An Introduction / / Tom Richmond.

The first half of the book provides an introduction to general topology, with ample space given to exercises and carefully selected applications. The second half of the text includes topics in asymmetric topology, a field motivated by applications in computer science. Recurring themes include the in...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Ebook Package English 2020
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2020]
©2020
Year of Publication:2020
Language:English
Series:De Gruyter Textbook
Online Access:
Physical Description:1 online resource (XII, 314 p.)
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Description
Other title:Frontmatter --
Preface --
Contents --
0. Preliminaries --
1. Topologies --
2. New topologies from existing topologies --
3. Continuity --
4. Connectedness --
5. Compactness --
6. Metric spaces and real analysis --
7. Separation axioms and compactifications --
8. Alexandroff spaces --
9. Lattice properties --
10. Partially ordered topological spaces --
11. Variations on metric spaces --
12. Uniform structures --
13. Continuous deformation of sets and curves --
Index --
Bibliography
Summary:The first half of the book provides an introduction to general topology, with ample space given to exercises and carefully selected applications. The second half of the text includes topics in asymmetric topology, a field motivated by applications in computer science. Recurring themes include the interactions of topology with order theory and mathematics designed to model loss-of-resolution situations.
Format:Mode of access: Internet via World Wide Web.
ISBN:9783110686579
9783110696288
9783110696271
9783110659061
9783110704716
9783110704518
9783110704846
9783110704662
DOI:10.1515/9783110686579
Access:restricted access
Hierarchical level:Monograph
Statement of Responsibility: Tom Richmond.