Subsections
[Cr:4, Lc:3, Tt:1, Lb:0]
- Singular homology, excision, Mayer-Vietoris sequence, Exact sequences of a pair and triple
- Cellular homology
- Universal Coefficient Theorem of Homology
- Kunneth formula
- Fibre bundles, Leray-Hirsch theorem
- Singular cohomology
- Universal Coefficient theorem of cohomology
- Cup product
- Poincare duality
- Additional Topic: DeRham Cohomology
- James R. Munkres, Elements of Algebraic Topology, CRC Press, 2018.
- William S. Massey, A Basic Course in Algebraic Topology, Springer, 2019.
- Allen Hatcher, Algebraic Topology, Cambridge Unbiversity Press, 2005.
- Glen E. Bredon, Geometry and Topology, Springer, 2013.