James Stasheff

H-Spaces from a Homotopy Point of View

• Broschiertes Buch

Produktbeschreibung

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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Produktdetails

• Lecture Notes in Mathematics 161
• Verlag: Springer / Springer Berlin Heidelberg / Springer, Berlin
• Artikelnr. des Verlages: 978-3-540-04940-1
• 1970.
• Seitenzahl: 108
• Erscheinungstermin: 1. Januar 1970
• Englisch
• Abmessung: 235mm x 155mm x 7mm
• Gewicht: 196g
• ISBN-13: 9783540049401
• ISBN-10: 3540049401
• Artikelnr.: 23380316

Inhaltsangabe

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.