Higher homotopy operations and cohomology

David Blanc; Mark W. Johnson; James M. Turner

doi:10.1017/is010001011jkt099

Higher homotopy operations and cohomology

David Blanc, Mark W. Johnson, James M. Turner

Division of Mathematics & Natural Sciences (Altoona)

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

We explain how higher homotopy operations, defined topologically, may be identified under mild assumptions with (the last of) the Dwyer-Kan-Smith cohomological obstructions to rectifying homotopy-commutative diagrams.

Original language	English (US)
Pages (from-to)	167-200
Number of pages	34
Journal	Journal of K-Theory
Volume	5
Issue number	1
DOIs	https://doi.org/10.1017/is010001011jkt099
State	Published - Feb 2010

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Geometry and Topology

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10.1017/is010001011jkt099

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@article{81b698a4d78e47998aef0414a30bd818,

title = "Higher homotopy operations and cohomology",

abstract = "We explain how higher homotopy operations, defined topologically, may be identified under mild assumptions with (the last of) the Dwyer-Kan-Smith cohomological obstructions to rectifying homotopy-commutative diagrams.",

author = "David Blanc and Johnson, \{Mark W.\} and Turner, \{James M.\}",

note = "Funding Information: Acknowledgments: We would like to thank both the anonymous referee and Ronnie Brown for helpful comments. This research was supported by BSF grant 2006039; the third author was also supported by NSF grant DMS-0206647 and a Calvin Research Fellowship (SDG).",

year = "2010",

month = feb,

doi = "10.1017/is010001011jkt099",

language = "English (US)",

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journal = "Journal of K-Theory",

issn = "1865-2433",

publisher = "Cambridge University Press",

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T1 - Higher homotopy operations and cohomology

AU - Blanc, David

AU - Johnson, Mark W.

AU - Turner, James M.

N1 - Funding Information: Acknowledgments: We would like to thank both the anonymous referee and Ronnie Brown for helpful comments. This research was supported by BSF grant 2006039; the third author was also supported by NSF grant DMS-0206647 and a Calvin Research Fellowship (SDG).

PY - 2010/2

Y1 - 2010/2

N2 - We explain how higher homotopy operations, defined topologically, may be identified under mild assumptions with (the last of) the Dwyer-Kan-Smith cohomological obstructions to rectifying homotopy-commutative diagrams.

AB - We explain how higher homotopy operations, defined topologically, may be identified under mild assumptions with (the last of) the Dwyer-Kan-Smith cohomological obstructions to rectifying homotopy-commutative diagrams.

UR - https://www.scopus.com/pages/publications/77949573648

UR - https://www.scopus.com/inward/citedby.url?scp=77949573648&partnerID=8YFLogxK

U2 - 10.1017/is010001011jkt099

DO - 10.1017/is010001011jkt099

M3 - Article

AN - SCOPUS:77949573648

SN - 1865-2433

VL - 5

SP - 167

EP - 200

JO - Journal of K-Theory

JF - Journal of K-Theory

IS - 1

ER -

Higher homotopy operations and cohomology

Abstract

All Science Journal Classification (ASJC) codes

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