Topology A Categorical Approach – (PDF/EPUB Version)

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.