profhugodegaris

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

HOMOTOPY THEORY (M2, Whitehead)

Lecture Topic : HOMOTOPY THEORY (M2, Whitehead)

Prerequisites : Algebraic Topology (M1); Homology-Cohomology (M1); Lie Groups (M1);

Recommended Text(s) :

“Elements of Homotopy Theory”, Graduate Text in Mathematics (GTM) No. 61, George W. Whitehead, Springer, 1978.

Approx price new on Amazon.com (hard copy) :  –

Approx price second hand on Amazon.com (hard copy) : $374

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

eMule search key word(s) : Whitehead, Homotopy Theory

Lectures and Links :

—–

Lecture 1  (link)

Ch.1   Introductory Notions

—–

Lecture 2  (link)

Ch.2   CW-Complexes

—–

Lecture 3  (link)

Ch.3   Generalities on Homotopy Classes of Mappings

—–

Lecture 4 (link)

Ch.4   Homotopy Groups

—–

Lecture 5  (link)

Ch.5   Homotopy Theory of CW-Complexes

—–

Lecture 6  (link)

Ch.6   Homology with Local Coefficients

—–

Lecture 7  (link)

Ch.7   Homology of Fibre Spaces : Elementary Theory

—–

Lecture 8  (link)

Ch.8   The Homology Suspension

—–

Lecture 9  (link)

Ch.9   Postnikov Systems

—–

Lecture 10  (link)

Ch.10   On Mappings into Group-Like Spaces

—–

Lecture 11  (link)

Ch.11   Homotopy Operations

—–

Lecture 12  (link)

Ch.12   Stable Homotopy and Homology

—–

Lecture 13  (link)

Ch.13   Homology of Fibre Spaces

—–

Lecture 14  (link)

Appendix A : Compact Lie  Groups

—–

Lecture 15  (link)

Appendix B : Additive Relations

—–

%d bloggers like this: