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H-spaces from a Homotopy Point of View

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Author(s): James Stasheff (auth.)
Series: Lecture Notes in Mathematics 161
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1970

Language: English
Pages: 100
Tags: Mathematics, general

H-spaces from a homotopy point of view....Pages 1-2
The Hopf construction....Pages 3-6
The projective plane....Pages 7-9
Maps into an H-space: Algebraic structure, inverses, other multiplications, etc....Pages 10-13
Associativity: Loop spaces and topological groups....Pages 14-19
H-spaces which are finite complexes....Pages 20-22
The bar construction spectral sequence....Pages 23-26
Homotopy associativity....Pages 27-30
Maps of H-spaces....Pages 31-37
Spaces induced by H-maps....Pages 38-43
Differentials in the bar construction....Pages 44-47
A n -spaces....Pages 48-57
Massey products and generalized bar construction....Pages 59-64
Homotopy commutativity....Pages 65-70
Structure on B X ....Pages 71-74
Infinite loop spaces....Pages 75-80
Operations in iterated loop spaces....Pages 81-88