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

Department of Mathematics

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

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
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

Bibliographical 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).

Keywords

Higher homotopy operations
Homotopy-commutative diagram
Obstruction
Rectification
SO-cohomology

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

Access to Document

10.1017/is010001011jkt099

Cite this

@article{0c5669a967f040e9b5a78b1fa6fb477f,

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.",

keywords = "Higher homotopy operations, Homotopy-commutative diagram, Obstruction, Rectification, SO-cohomology",

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",

volume = "5",

pages = "167--200",

journal = "Journal of K-Theory",

issn = "1865-2433",

publisher = "Cambridge University Press",

number = "1",

}

TY - JOUR

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.

KW - Higher homotopy operations

KW - Homotopy-commutative diagram

KW - Obstruction

KW - Rectification

KW - SO-cohomology

UR - http://www.scopus.com/inward/record.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

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this