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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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
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Online Access: | |
Physical Description: | 1 online resource (XII, 314 p.) |
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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 |
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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. |