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Species Dominance, Artilects, Artilect War, Cosmists, Terrans, Gigadeath, Essays, Media, etc

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 Amazon.com (hard copy) : $100

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Availability free on eMule.com (e-format) : Yes

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

Lectures and Links :

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Lecture 1  (link)

Ch.1   Two-Dimensional Manifolds

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Lecture 2  (link)

Ch.2   The Fundamental Group

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Lecture 3  (link)

Ch.3   Free Groups and Free Products of Groups

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Lecture 4 (link)

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

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Lecture 5  (link)

Ch.5   Covering Spaces

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Lecture 6  (link)

Ch.6   Background and Motivation for Homology Theory

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Lecture 7  (link)

Ch.7   Definitions and Basic Properties of Homology Theory

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Lecture 8  (link)

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

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Lecture 9  (link)

Ch.9   Homology of CW-Complexes

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Lecture 10  (link)

Ch.10   Homology with Arbitrary Coefficient Groups

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Lecture 11  (link)

Ch.11   The Homology of Product Spaces

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Lecture 12  (link)

Ch.12   Cohomology Theory

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Lecture 13  (link)

Ch.13   Products in Homology and Cohomology

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Lecture 14  (link)

Ch.14   Duality Theorems for the Homology of Manifolds

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Lecture 15  (link)

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

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Lecture 16  (link)

Appendix A : Proof of de Rham’s Theorem

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Lecture 17  (link)

Appendix B : Permutation Groups or Transformation Groups

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