1 option
General topology : an introduction / Tom Richmond.
De Gruyter DG Plus DeG Package 2020 Part 1 Available online
De Gruyter DG Plus DeG Package 2020 Part 1- Format:
- Book
- Author/Creator:
- Richmond, Thomas, author.
- Series:
- De Gruyter Textbook
- Language:
- English
- Subjects (All):
- Topology.
- Physical Description:
- 1 online resource (XII, 314 p.)
- Place of Publication:
- Berlin ; Boston : De Gruyter, [2020]
- Language Note:
- In English.
- 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 extends this introduction to the field of asymmetric topology, which is a field of great interest for applications in computer sciences. Recurring themes include the interactions of topology with order theory and mathematics designed to model loss-of-resolution situations.
- Contents:
- 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
- Notes:
- Includes bibliographical references and index.
- Description based on print version record.
- ISBN:
- 3-11-068657-0
- OCLC:
- 1163877919
The Penn Libraries is committed to describing library materials using current, accurate, and responsible language. If you discover outdated or inaccurate language, please fill out this feedback form to report it and suggest alternative language.