#general-topology

54. General Topology

This volume studies topological spaces and continuous structures in full generality. It provides the foundational language for modern analysis and geometry. Part I. Topological Spaces Chapter 1. Basic Definitions 1.1 Topologies and open sets 1.2 Closed sets 1.3 Bases and subbases 1.4 Examples 1.5 Constructions Chapter 2. Continuous Functions 2.1 Definitions 2.2 Equivalent formulations 2.3 Homeomorphisms 2.4 Embeddings 2.5 Examples Chapter 3. Subspaces and Product Spaces 3.1 Subspace topology 3.2...