TAU:0366-2115

Elements of algebraic topology

Topology

Homotopy.
Viro Sect.30; Munkres Sect.51, 58.

Fundamental group.
Viro Sect.31-33; Munkres Sect.52.

Covering space.
Viro Sect.34; Munkres Sect.53.

Path lifting.
Viro Sect.35-36; Munkres Sect.54.

Induced homomorphism.
Viro Sect.37; Munkres Sect.56,60.

Conclusions: no-retraction, fixed point, Borsuk-Ulam, bisection, hairy ball theorems.
Viro Sect.37; Munkres Sect.55,57,60.

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