Homotopy exponents for large H-spaces

Wojciech Chachólski; Wolfgang Pitsch; Jérôme Scherer; Don Stanley

doi:10.1093/imrn/rnn061

Homotopy exponents for large H-spaces

Wojciech Chachólski, Wolfgang Pitsch, Jérôme Scherer, Don Stanley

Department of Mathematics

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

3 Citations (Scopus)

Abstract

We show that H-spaces with finitely generated cohomology, as an algebra or as an algebra over the Steenrod algebra, have homotopy exponents at all primes. This provides a positive answer to a question of Stanley. © The Author 2008. Published by Oxford University Press. All rights reserved.

Original language	English
Article number	rnn061
Journal	International Mathematics Research Notices
Volume	2008
Issue number	1
DOIs	https://doi.org/10.1093/imrn/rnn061
Publication status	Published - 1 Dec 2008

Access to Document

10.1093/imrn/rnn061

Fingerprint Dive into the research topics of 'Homotopy exponents for large H-spaces'. Together they form a unique fingerprint.

Cite this

@article{9c6313c536f147a6990be8cb81410e93,

title = "Homotopy exponents for large H-spaces",

abstract = "We show that H-spaces with finitely generated cohomology, as an algebra or as an algebra over the Steenrod algebra, have homotopy exponents at all primes. This provides a positive answer to a question of Stanley. {\textcopyright} The Author 2008. Published by Oxford University Press. All rights reserved.",

author = "Wojciech Chach{\'o}lski and Wolfgang Pitsch and J{\'e}r{\^o}me Scherer and Don Stanley",

year = "2008",

month = dec,

day = "1",

doi = "10.1093/imrn/rnn061",

language = "English",

volume = "2008",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

number = "1",

}

TY - JOUR

T1 - Homotopy exponents for large H-spaces

AU - Chachólski, Wojciech

AU - Pitsch, Wolfgang

AU - Scherer, Jérôme

AU - Stanley, Don

PY - 2008/12/1

Y1 - 2008/12/1

N2 - We show that H-spaces with finitely generated cohomology, as an algebra or as an algebra over the Steenrod algebra, have homotopy exponents at all primes. This provides a positive answer to a question of Stanley. © The Author 2008. Published by Oxford University Press. All rights reserved.

AB - We show that H-spaces with finitely generated cohomology, as an algebra or as an algebra over the Steenrod algebra, have homotopy exponents at all primes. This provides a positive answer to a question of Stanley. © The Author 2008. Published by Oxford University Press. All rights reserved.

U2 - 10.1093/imrn/rnn061

DO - 10.1093/imrn/rnn061

M3 - Article

VL - 2008

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

SN - 1073-7928

IS - 1

M1 - rnn061

ER -