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Lectures on introduction to algebraic topology,

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Author(s): Georges de Rham
Series: Tata Institute of Fundamental Research. Lectures on mathematics and physics. Mathematics, 44
Publisher: Tata Institute of Fundamental Research
Year: 1969

Language: English
Pages: 99

Contents......Page 2
Preface......Page 3
Definition and general properties of the fundamental group......Page 4
Free products of groups and their quotients......Page 13
On calculation of fundamental groups......Page 27
Examples......Page 39
The group of a tame link given by a good plane projection......Page 46
Antoine's Necklace......Page 51
Elementary ideals - Alexander polynomials......Page 57
a) Whitehead manifold......Page 64
b) Homology 3-sphere of Dehn......Page 70
Involutions of S^4. Four dimensional contractible manifolds whose boundaries are not simply connected. One parameter group of homeomorphisms of S^5......Page 78
Addendum......Page 91
Errata......Page 94