This text introduces topos theory, a development in category theory that unites important but seemingly diverse notions from algebraic geometry, set theory, and

As its title suggests, this book is an introduction to three ideas and the connections between them. Before describing the content of the book in detail, we des

In 'Higher Topos Theory', Jacob Lurie presents the foundations of this theory using the language of weak Kan complexes introduced by Boardman and Vogt, and show

Topos Theory is a subject that stands at the junction of geometry, mathematical logic and theoretical computer science, and it derives much of its power from th

According to Grothendieck, the notion of topos is "the bed or deep river where come to be married geometry and algebra, topology and arithmetic, mathematical lo