Point-Set Topology

N/A

  1. [A. V. Arkhangelskii, V. V. Fedorchuk] - General Topology I Basic Concepts and Constructions Dimension Theory
  2. [A. V. Arhangelskii] - General Topology II Compactness, Homologies of General Spaces
  3. [A. V. Arhangelskii] - General Topology III Paracompactness, Function Spaces, Descriptive Theory
  4. [M.A. Armstrong] - Basic topology ***Chp 1-3***
  5. [Nicolas Bourbaki] - General Topology Chapters 1-4 ***Chp 1-2***
  6. [Glen E. Bredon] - Topology and Geometry ***Chp 1***
  7. [L. Christine Kinsey] - Topology of Surfaces ***Chp 3***
  8. [James Dugundji] - Topology ***Chp 1-14***
  9. [Ryszard Engelking] - General Topology
  10. [K.P. Hart, Jun-iti Nagata, J.E. Vaughan] - Encyclopedia of General Topology
  11. [O. Viro, O. Ivanov, N. Netsvetaev, V. Kharlamov] - Elementary topology problem textbook ***Chp 1-4***
  12. [John L. Kelley] - General Topology
  13. [John M. Lee] - Introduction to Topological Manifolds ***Chp 2-4***
  14. [Seymour Lipschutz] - Schaum's Outline of General Topology
  15. [Sidney A. Morris] - Topology without Tears
  16. [Bert Mendelson] - Introduction to Topology
  17. [James Munkres] - Topology ***Chp 1-8***
  18. [Jun-Iti Nagata] - Modern General Topology
  19. [Mikio Nakahara] - Geometry, Topology and Physics ***Chp 2.3***
  20. [George F. Simmons] - Introduction to Topology and Modern Analysis ***Chp 1-7***
  21. [I. M. Singer, J. A. Thorpe] - Lecture Notes On Elementary Topology And Geometry ***Chp 1-2***
  22. [Stephen Willard] - General Topology
  1. Topological Spaces
    1. Topological Spaces
    2. Neighbourhoods
    3. Bases
    4. Closed Sets
    5. Convergence
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  2. Continuity
    1. Continuous Functions
    2. Homeomorphisms
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  3. Operations on Topological Spaces
    1. Subspaces
    2. Sums
    3. Cartesian Products
    4. Quotient Spaces
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  4. Filters and Nets
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  5. Seperation and Countability
    1. The Seperation Axioms
    2. The Countability Axioms
    3. Normal Spaces
    4. The Urysohn Lemma
    5. The Tietze Extension Theorem
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  6. Compactness
    1. Compact Spaces
    2. Operations on Compact Spaces
    3. Locally Compact Spaces
    4. Compacitification
    5. The Cech-Stone Compactification
    6. Countably Compact Spaces
    7. Pseudoompact Spaces
    8. Sequentially Compact Spaces
  7. Metrizable Spaces
    1. Metric and Metrizable Spaces
    2. Operations on Metrizable Spaces
  8. Paracompact Spaces
  9. Connected Spaces
  10. Complete Metric Spaces
  11. Uniform Spaces
  12. Dimension Theory
  13. Function Spaces