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. |