Topology: A Categorical Approach Bradley Tai-Danae
Topology: A Categorical Approach Bradley Tai-Danae A graduate-level textbook that presents basic topology from the perspective of category theory.This graduate-level textbook on topology takes a…
Specifikacia Topology: A Categorical Approach Bradley Tai-Danae
Topology: A Categorical Approach Bradley Tai-Danae
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. 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.After presenting the basics of both category theory and topology, the book covers the universal properties of familiar constructions and three main topological properties--connectedness, Hausdorff, and compactness. Many graduate students are familiar with the ideas of point-set topology and they are ready to learn something new about them.
It presents a fine-grained approach
Kočka a město - Nick Bradley
Kočka a město - Nick Bradley
A sokoldalú Tai Chi Chuan