学习时可以参考的资料

1.

M. A. Armstrong (1983). Basic Topology. New York: Springer-Verlag.

2.

N. Bourbaki (2007). Topologie générale, Chapitres 1 à 4, Chapitres 5 à 10. Berlin, Heidelberg: Springer-Verlag.

3.

—— (2016). Topologie algébrique, Chapitres 1 à 4. Heidelberg: Springer.

4.

Raoul Bott; Loring W. Tu (1982). Differential forms in algebraic topology. New York: Springer-Verlag.

5.

Claude Chevalley (1946). Theory of Lie groups I. Princeton, NJ: Princeton University Press.

6.

Régine Douady; Adrien Douady (2020). Algebra and Galois theories. Springer, Cham.

7.

Otto Forster (1981). Lectures on Riemann Surfaces. New York: Springer-Verlag.

8.

André Gramain (1971). Topologie des surfaces. Paris: Presses Universitaires de France. [English translation by Boron, Christenson, and Smith (1984). Topology of surfaces. Moscow, ID: BCS Associates.]

9.

Victor Guillemin; Alan Pollack (1974). Differential topology. Englewood Cliffs, NJ: Prentice-Hall, Inc.

10.

Allen Hatcher (2002). Algebraic topology. Cambridge: Cambridge University Press.

11.

Klaus Jänich (2005), Topologie, Berlin, Heidelberg: Springer-Verlag.

12.

John Milnor (1963). Morse theory. Annals of Mathematics Studies, No.  51. Princeton, NJ: Princeton University Press.

13.

—— (1965). Topology from the differentiable viewpoint. Charlottesville, VA: The University Press of Virginia.

14.

James Munkres (2000). Topology. Upper Saddle River, NJ: Prentice Hall, Inc.

15.

Herbert Seifert; William Threlfall (1934). Lehrbuch der Topologie. Leipzig: Teubner. [English translation by W. Heil (1980). Seifert and Threlfall: a textbook of topology. Pure and Applied Mathematics 89, London: Academic Press Inc.]

16.

V. A. Vassiliev (2001). Introduction to topology. Translated from the 1997 Russian original by A. Sossinski. Student Mathematical Library, 14. Providence, RI: American Mathematical Society.

17.

O. Ya. Viro; O. A. Ivanov; N. Yu. Netsvetaev; V.  M. Kharlamov (2008). Elementary topology: Problem textbook. Providence, RI: American Mathematical Society.

[AS]

Henri Paul de Saint-Gerva (Since 2017). Analysis Situs – Topologie algébrique des variétés.