p-universal spaces and rational homotopy types

Richard Body; Mamoru Mimura; Hiroo Shiga; Dennis Sullivan

doi:10.1007/s000140050063

p-universal spaces and rational homotopy types

Richard Body
, Mamoru Mimura
, Hiroo Shiga
, Dennis Sullivan

Mathematics

Okayama University
University of the Ryukyus

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

17 Scopus citations

Abstract

We prove that the p-universality of a space does not depend on a prime p but only on its rational homotopy type. The minimal model of such a rational homotopy type is characterized bv the existence of the trivial endomorphism in the closure of its automorphism group.

Original language	English
Pages (from-to)	427-442
Number of pages	16
Journal	Commentarii Mathematici Helvetici
Volume	73
Issue number	3
DOIs	https://doi.org/10.1007/s000140050063
State	Published - 1998

Keywords

1-parameter subgroup defined over ℚ
Having positive weights
P-universality

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10.1007/s000140050063

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abstract = "We prove that the p-universality of a space does not depend on a prime p but only on its rational homotopy type. The minimal model of such a rational homotopy type is characterized bv the existence of the trivial endomorphism in the closure of its automorphism group.",

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AU - Body, Richard

AU - Mimura, Mamoru

AU - Shiga, Hiroo

AU - Sullivan, Dennis

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AB - We prove that the p-universality of a space does not depend on a prime p but only on its rational homotopy type. The minimal model of such a rational homotopy type is characterized bv the existence of the trivial endomorphism in the closure of its automorphism group.

KW - 1-parameter subgroup defined over ℚ

KW - Having positive weights

KW - P-universality

UR - https://www.scopus.com/pages/publications/0032443962

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DO - 10.1007/s000140050063

M3 - Article

AN - SCOPUS:0032443962

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p-universal spaces and rational homotopy types

Abstract

Keywords

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