Homology of Normal Chains and Cohomology of Charges

We consider a category of pairs of compact metric spaces and Lipschitz maps where the pairs satisfy a linearly isoperimetric condition related to the solvability of the Plateau problem with partially free boundary. It includes properly all pairs of compact Lipschitz neighborhood retracts of a large...

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Bibliographic Details
Main Authors: De Pauw, Th, Hardt, R. M., Pfeffer, W. F.
Format: eBook Book
Language:English
Published: Providence, Rhode Island American Mathematical Society 2017
Edition:1
Series:Memoirs of the American Mathematical Society
Subjects:
Algebraic topology
Banach spaces
Cohomology operations
Mathematical analysis
Flat chains
normal chains
charges
homology
cohomology
ISBN:9781470423353, 1470423359
ISSN:0065-9266, 1947-6221
Online Access:Get full text
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Summary:We consider a category of pairs of compact metric spaces and Lipschitz maps where the pairs satisfy a linearly isoperimetric condition related to the solvability of the Plateau problem with partially free boundary. It includes properly all pairs of compact Lipschitz neighborhood retracts of a large class of Banach spaces. On this category we define homology and cohomology functors with real coefficients which satisfy the Eilenberg-Steenrod axioms, but reflect the
Bibliography:Volume 247, number 1172 (fifth of 7 numbers), May 2017
Includes bibliographical references (p. 113-115)
ISBN:9781470423353
1470423359
ISSN:0065-9266
1947-6221
DOI:10.1090/memo/1172