Concept
Category of topological spaces
Related lectures (34)
Fundamental Group of Wedge
Explores the fundamental group of a wedge and its applications.
Limits and colimits in Top
Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.
Well Pointed Spaces and Wedge
Discusses well pointed spaces, neighborhoods, wedges, examples, and the universal property of the quotient.
Limits and Colimits in Functor Categories
Explores limits and colimits in functor categories, focusing on equalizers, pullbacks, and their significance in category theory.
Examples, Chapter 1(b): Adjunctions
Presents concrete examples of adjunctions between Set and Top categories.
Limits and colimits: Concrete Examples
Explores concrete examples of limits and colimits in functors and different categories.
Limits and colimits: Introduction, Chapter 1(c)
Introduces limits and colimits in a category, covering their properties and uniqueness.
Limits and colimits: Two examples
Focuses on the pushout and pullback constructions in sets, illustrating colimits and limits with explicit examples.
Homotopy Identification
Delves into homotopy identification, pushout diagrams, colimits, and group fundamental calculations.
Nerves and Geometric Realization
Covers the explicit computations of nerves of categories and geometric realisations of simplicial sets.