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ALGEBRAIC TOPOLOGY (M2, Massey, basic)

Lecture Topic : ALGEBRAIC TOPOLOGY (M2, Massey, basic)

Recommended Text(s)Group Theory (M1); Algebraic Topology (M1);

“A Basic Course in Algebraic Topology”, Graduate Texts in Mathematics (GTM) No. 127, William. S. Massey, Springer, 1991.

Approx price new on (hard copy) : $100

Approx price second hand on (hard copy) : $45

Availability free on (e-format) : Yes

eMule search key word(s) : Massey, Algebraic Topology

Lectures and Links :


Lecture 1  (link)

Ch.1   Two-Dimensional Manifolds


Lecture 2  (link)

Ch.2   The Fundamental Group


Lecture 3  (link)

Ch.3   Free Groups and Free Products of Groups


Lecture 4 (link)

Ch.4   Seifert and van Kampen Theorem on the Fundamental Group of the Union of Two Spaces, Applications


Lecture 5  (link)

Ch.5   Covering Spaces


Lecture 6  (link)

Ch.6   Background and Motivation for Homology Theory


Lecture 7  (link)

Ch.7   Definitions and Basic Properties of Homology Theory


Lecture 8  (link)

Ch.8   Determination of the Homology Groups of Certain Spaces. Applications and Further Properties of Homology Theory


Lecture 9  (link)

Ch.9   Homology of CW-Complexes


Lecture 10  (link)

Ch.10   Homology with Arbitrary Coefficient Groups


Lecture 11  (link)

Ch.11   The Homology of Product Spaces


Lecture 12  (link)

Ch.12   Cohomology Theory


Lecture 13  (link)

Ch.13   Products in Homology and Cohomology


Lecture 14  (link)

Ch.14   Duality Theorems for the Homology of Manifolds


Lecture 15  (link)

Ch.15   Cup Products in Projective Spaces and Applications of Cup Products


Lecture 16  (link)

Appendix A : Proof of de Rham’s Theorem


Lecture 17  (link)

Appendix B : Permutation Groups or Transformation Groups


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