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Algebraic topology references.

Topology

  1. Munkres, J. R. (2000). Topology (2nd ed.). Pearson.
  2. Willard, S. (2004). General topology. Dover Publications.
  3. Dugundji, J. (1966). Topology. Allyn and Bacon.
  4. Kelley, J. L. (1955). General topology. Springer.
  5. Engelking, R. (1977). General topology. Heldermann Verlag.
  6. Adams, C. C. (1995). The knot book: An elementary introduction to the mathematical theory of knots. American Mathematical Society.
  7. Mendelson, B. (2009). Introduction to topology (3rd ed.). Dover Publications.
  8. Runde, V. (2005). A taste of topology. Springer.
  9. Sierpiński, W. (1934). General Topology. University of Toronto Press.
  10. Arkhangel'skii, A. V. (2013). General Topology I: Basic Concepts and Constructions Dimension Theory. Springer.
  11. Bourbaki, N. (1989). General Topology: Chapters 1-4. Springer.
  12. Steen, L. A., & Seebach, J. A. Jr. (1995). Counterexamples in Topology. Dover Publications.

Algebraic Topology

  1. Hatcher, A. (2002). Algebraic topology. Cambridge University Press.
  2. May, J. P. (1999). A concise course in algebraic topology. University of Chicago Press.
  3. Spanier, E. H. (1966). Algebraic topology. Springer.
  4. Munkres, J. R. (2000). Topology (2nd ed.). Pearson.
  5. Bott, R., & Tu, L. W. (1982). Differential forms in algebraic topology. Springer.
  6. Massey, W. S. (1991). A basic course in algebraic topology. Springer.
  7. Bredon, G. E. (1993). Topology and geometry. Springer.
  8. Rotman, J. J. (2013). An introduction to algebraic topology. Springer.
  9. Greenberg, M. J., & Harper, J. R. (1981). Algebraic topology: A first course. Westview Press.
  10. Munkres, J. R. (1984). Elements of algebraic topology. Westview Press.
  11. Hatcher, A. (2005). Spectral sequences in algebraic topology. Cambridge University Press.
  12. Davis, J. F., & Kirk, P. (2001). Lecture notes in algebraic topology. American Mathematical Society.
  13. Adamek, J., Herrlich, H., & Strecker, G. E. (1990). Abstract and concrete categories: The joy of cats. John Wiley & Sons.

Homological Algebra

  1. Weibel, C. A. (1994). An Introduction to Homological Algebra. Cambridge University Press.
  2. Rotman, J. J. (2008). An Introduction to Homological Algebra. Springer.
  3. Cartan, H., & Eilenberg, S. (1999). Homological Algebra. Princeton University Press.
  4. Hilton, P. J., & Stammbach, U. (1997). A Course in Homological Algebra. Springer.
  5. Gelfand, S. I., & Manin, Y. I. (1994). Methods of Homological Algebra. Springer.
  6. Northcott, D. G. (1973). Lessons on Rings, Modules, and Multiplicities. Cambridge University Press.
  7. McCleary, J. (2000). A User's Guide to Spectral Sequences. Cambridge University Press.
  8. Benson, D. J. (1991). Representations and Cohomology: Volume 1, Basic Representation Theory of Finite Groups and Associative Algebras. Cambridge University Press.
  9. Weibel, C. A. (2009). The K-Book: An Introduction to Algebraic K-Theory. American Mathematical Society.
  10. Gorenstein, D., Lyubeznik, G., & Zhang, W. (1998). Cohen-Macaulay Modules. American Mathematical Society.
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