The Resource Singular Coverings of Toposes, by Marta Bunge, Jonathon Funk, (electronic resource)

Singular Coverings of Toposes, by Marta Bunge, Jonathon Funk, (electronic resource)

Label
Singular Coverings of Toposes
Title
Singular Coverings of Toposes
Statement of responsibility
by Marta Bunge, Jonathon Funk
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
The self-contained theory of certain singular coverings of toposes called complete spreads, that is presented in this volume, is a field of interest to topologists working in knot theory, as well as to various categorists. It extends the complete spreads in topology due to R. H. Fox (1957) but, unlike the classical theory, it emphasizes an unexpected connection with topos distributions in the sense of F. W. Lawvere (1983). The constructions, though often motivated by classical theories, are sometimes quite different from them. Special classes of distributions and of complete spreads, inspired respectively by functional analysis and topology, are studied. Among the former are the probability distributions; the branched coverings are singled out amongst the latter. This volume may also be used as a textbook for an advanced one-year graduate course introducing topos theory with an emphasis on geometric applications. Throughout the authors emphasize open problems. Several routine proofs are left as exercises, but also as ‘exercises’ the reader will find open questions for possible future work in a variety of topics in mathematics that can profit from a categorical approach
Member of
Is Subseries of
http://library.link/vocab/creatorName
Bunge, Marta
Dewey number
512.55
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • CNhdX6qvncs
  • zyC3dXOjCP4
Language note
English
LC call number
QA169
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Funk, Jonathon.
Series statement
Lecture Notes in Mathematics,
Series volume
1890
http://library.link/vocab/subjectName
  • Algebra
  • Cell aggregation
  • Category Theory, Homological Algebra
  • Manifolds and Cell Complexes (incl. Diff.Topology)
  • Order, Lattices, Ordered Algebraic Structures
Label
Singular Coverings of Toposes, by Marta Bunge, Jonathon Funk, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [217]-221) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Distributions and Complete Spreads -- Lawvere Distributions on Toposes -- Complete Spread Maps of Toposes -- The Spread and Completeness Conditions -- An Axiomatic Theory of Complete Spreads -- Completion KZ-Monads -- Complete Spreads as Discrete M-fibrations -- Closed and Linear KZ-Monads -- Aspects of Distributions and Complete Spreads -- Lattice-Theoretic Aspects -- Localic and Algebraic Aspects -- Topological Aspects
Dimensions
unknown
Edition
1st ed. 2006.
Extent
1 online resource (228 p.)
Form of item
online
Isbn
9781280745317
Media category
computer
Media type code
c
Other control number
10.1007/3-540-36359-9
Specific material designation
remote
System control number
  • (CKB)1000000000282935
  • (EBL)3036531
  • (SSID)ssj0000246283
  • (PQKBManifestationID)11188588
  • (PQKBTitleCode)TC0000246283
  • (PQKBWorkID)10180367
  • (PQKB)11205629
  • (DE-He213)978-3-540-36360-6
  • (MiAaPQ)EBC3036531
  • (EXLCZ)991000000000282935
Label
Singular Coverings of Toposes, by Marta Bunge, Jonathon Funk, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references (p. [217]-221) and index
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
Contents
Distributions and Complete Spreads -- Lawvere Distributions on Toposes -- Complete Spread Maps of Toposes -- The Spread and Completeness Conditions -- An Axiomatic Theory of Complete Spreads -- Completion KZ-Monads -- Complete Spreads as Discrete M-fibrations -- Closed and Linear KZ-Monads -- Aspects of Distributions and Complete Spreads -- Lattice-Theoretic Aspects -- Localic and Algebraic Aspects -- Topological Aspects
Dimensions
unknown
Edition
1st ed. 2006.
Extent
1 online resource (228 p.)
Form of item
online
Isbn
9781280745317
Media category
computer
Media type code
c
Other control number
10.1007/3-540-36359-9
Specific material designation
remote
System control number
  • (CKB)1000000000282935
  • (EBL)3036531
  • (SSID)ssj0000246283
  • (PQKBManifestationID)11188588
  • (PQKBTitleCode)TC0000246283
  • (PQKBWorkID)10180367
  • (PQKB)11205629
  • (DE-He213)978-3-540-36360-6
  • (MiAaPQ)EBC3036531
  • (EXLCZ)991000000000282935

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