Tu (2011), Lee (2000), Lee (2013)
Lee (2000) :
- Not a book on general topology
- Does not cover higher homotopy groups
- No Homology theory
- Meant as a prereq to an alg top course.
Lee (2013) :
- I have had to omit or barely touch on a number of important topics, such as complex manifolds, infinite-dimensional manifolds, connections, geodesics, curvature, fiber bundles, sheaves, characteristic classes, and Hodge theory
Preliminaries
When working in , just use the standard basis, ffs.
References
Lee, J. M. (2000). Introduction to Topological Manifolds (Nachdr.). Springer.
Lee, J. M. (2013). Introduction to Smooth Manifolds (Second edition). Springer.
Tu, L. W. (2011). An Introduction to Manifolds. Springer New York. https://doi.org/10.1007/978-1-4419-7400-6