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H-Spaces from a Homotopy Point of View: 161 (Lecture Notes in Mathematics, 161) - Softcover

Stasheff, James

 
9783540049401: H-Spaces from a Homotopy Point of View: 161 (Lecture Notes in Mathematics, 161)

Synopsis

H-spaces from a homotopy point of view.- The Hopf construction.- The projective plane.- Maps into an H-space: Algebraic structure, inverses, other multiplications, etc.- Associativity: Loop spaces and topological groups.- H-spaces which are finite complexes.- The bar construction spectral sequence.- Homotopy associativity.- Maps of H-spaces.- Spaces induced by H-maps.- Differentials in the bar construction.- An-spaces.- Massey products and generalized bar construction.- Homotopy commutativity.- Structure on BX.- Infinite loop spaces.- Operations in iterated loop spaces.

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From the Back Cover

H-spaces from a homotopy point of view.- The Hopf construction.- The projective plane.- Maps into an H-space: Algebraic structure, inverses, other multiplications, etc.- Associativity: Loop spaces and topological groups.- H-spaces which are finite complexes.- The bar construction spectral sequence.- Homotopy associativity.- Maps of H-spaces.- Spaces induced by H-maps.- Differentials in the bar construction.- An-spaces.- Massey products and generalized bar construction.- Homotopy commutativity.- Structure on BX.- Infinite loop spaces.- Operations in iterated loop spaces.

"About this title" may belong to another edition of this title.