Tai-Danae Bradley, Tyler Bryson, John Terilla

Topology (eBook, ePUB)

A Categorical Approach

• Format: ePub

Produktbeschreibung

A graduate-level textbook that presents basic topology from the perspective of category theory. This graduate-level textbook on topology takes a unique approach: it reintroduces basic, point-set topology from a more modern, categorical perspective. Many graduate students are familiar with the ideas of point-set topology and they are ready to learn something new about them. Teaching the subject using category theory--a contemporary branch of mathematics that provides a way to represent abstract concepts--both deepens students' understanding of elementary topology and lays a solid foundation for future work in advanced topics.

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: MIT Press
• Seitenzahl: 166
• Erscheinungstermin: 18. August 2020
• Englisch
• ISBN-13: 9780262359627
• Artikelnr.: 58671630

Autorenporträt

Tai-Danae Bradley is a PhD candidate in mathematics at the CUNY Graduate Center in New York. She is creator of the popular math blog, Math3ma and author of an open access ebook called "What Is Applied Category Theory?" Tyler Bryson is a PhD student in mathematics at the CUNY Graduate Center in New York. John Terilla is a mathematics professor at Queens College and the CUNY Graduate Center in New York. He advises Bryson and Bradley and conducts research in algebraic topology, quantum physics, and deformation theory.

Inhaltsangabe

0 Preliminaries
1 Examples and Constructions
2 Connectedness and Compactness
3 Limits of Sequences and Filters
4 Categorical Limits and Colimits
5 Adjunctions and the Compact-Open Topology
6 Paths, Loops, Cylinders, Suspensions, . . .
Glossary of Symbols
Bibliography
Index