Chapter Pending Migration / Draft Outline

This entire chapter is currently an outline scaffold preserved from the syllabus. Full mathematical definitions, theorems, proofs, and examples are queued for future authoring.

Status

This is an explicit TODO scaffold, not a claim that the source chapter is complete. The archived source file currently provides only a chapter outline or a very small placeholder.

The source path is content/Part2 Discrete math/6.Introductory Topology and Category Theory.tex. The source file is preserved in the locked repository snapshot Math-for-Computer-Science.

Source outline

  • Basic Topology
  • Introduction to Topological Spaces
  • Open and Closed Sets
  • Basis for a Topology
  • Continuity and Limits
  • Continuous Functions
  • Limit Points and Convergence
  • Compactness and Connectedness
  • Compact Spaces
  • Connected Spaces
  • Applications of Topology
  • Topology in Computer Science
  • Topology in Physics

Migration queue

  • Translate the source outline into a coherent note in the blog’s Markdown and KaTeX conventions.
  • Review definitions, notation, proofs, and examples against a reliable reference before promoting the page beyond seed maturity.
  • Convert or redraw any LaTeX-generated figures as SVG, or keep an explicit asset-pending placeholder.

This page belongs to the Topology reading path.