H-Spaces from a Homotopy Point of View
Published on 1. January 1970
Book
Paperback/Softback
VIII, 100 pages
978-3-540-04940-1 (ISBN)
Description
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.
More details
Series
Edition
1970 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
VIII, 100 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 7 mm
Weight
178 gr
ISBN-13
978-3-540-04940-1 (9783540049401)
DOI
10.1007/BFb0065896
Schweitzer Classification
Content
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.