Covers the construction and properties of CW complexes, including weak topology and characteristic maps.
Demonstrates how to obtain homotopy equivalences between different spaces using the homotopy extension property.
Covers the concept of sheaves, emphasizing the unique determination of functions by local data and the importance of direct limits.
Explores chain complexes, abelian groups, homomorphisms, homology groups, and free abelian groups.
Covers the concepts of limits and colimits in the category of Topological Spaces, emphasizing the relationship between colimit and limit constructions and adjunctions.
