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Homology of Normal Chains and Cohomology of Charges. (Record no. 128036)

MARC details
000 -LEADER
fixed length control field 03639nam a22004813i 4500
001 - CONTROL NUMBER
control field EBC4908294
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729131329.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240724s2017 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470437053
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9781470423353
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC4908294
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL4908294
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr11409839
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)982296866
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA612.3.D473 2017
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 514.23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Pauw, Th. De.
245 10 - TITLE STATEMENT
Title Homology of Normal Chains and Cohomology of Charges.
250 ## - EDITION STATEMENT
Edition statement 1st ed.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Providence :
Name of producer, publisher, distributor, manufacturer American Mathematical Society,
Date of production, publication, distribution, manufacture, or copyright notice 2017.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2017.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (128 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Memoirs of the American Mathematical Society ;
Volume/sequential designation v.247
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Cover -- Title page -- Introduction -- Chapter 1. Notation and preliminaries -- Chapter 2. Rectifiable chains -- Chapter 3. Lipschitz chains -- Chapter 4. Flat norm and flat chains -- Chapter 5. The lower semicontinuity of slicing mass -- Chapter 6. Supports of flat chains -- Chapter 7. Flat chains of finite mass -- Chapter 8. Supports of flat chains of finite mass -- Chapter 9. Measures defined by flat chains of finite mass -- Chapter 10. Products -- Chapter 11. Flat chains in compact metric spaces -- Chapter 12. Localized topology -- Chapter 13. Homology and cohomology -- Chapter 14. -bounded pairs -- Chapter 15. Dimension zero -- Chapter 16. Relation to the Čech cohomology -- Chapter 17. Locally compact spaces -- References -- Back Cover.
520 ## - SUMMARY, ETC.
Summary, etc. The authors 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 the authors define homology and cohomology functors with real coefficients which satisfy the Eilenberg-Steenrod axioms, but reflect the metric properties of the underlying spaces. As an example they show that the zero-dimensional homology of a space in our category is trivial if and only if the space is path connected by arcs of finite length. The homology and cohomology of a pair are, respectively, locally convex and Banach spaces that are in duality. Ignoring the topological structures, the homology and cohomology extend to all pairs of compact metric spaces. For locally acyclic spaces, the authors establish a natural isomorphism between their cohomology and the Čech cohomology with real coefficients.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Algebraic topology.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Hardt, R. M.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Pfeffer, W. F.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Pauw, Th. De
Title Homology of Normal Chains and Cohomology of Charges
Place, publisher, and date of publication Providence : American Mathematical Society,c2017
International Standard Book Number 9781470423353
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Memoirs of the American Mathematical Society
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4908294">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=4908294</a>
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