Homotopy exponents of mod 2(r) Moore spaces

Stephen D Theriault

doi:10.1016/j.top.2007.09.002

Homotopy exponents of mod 2(r) Moore spaces

Stephen D Theriault

Mathematical Science

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

7 Citations (Scopus)

Abstract

We prove that 2(r+1).pi(*)(P-m(2(r))) = 0 provided m >= 4 and r >= 6. This is the best possible result. As well, for 2 <= r <= 5 we obtain upper bounds on the homotopy exponent of P-m(2(r)). (C) 2007 Elsevier Ltd. All rights reserved.

Original language	English
Pages (from-to)	369-398
Number of pages	30
Journal	Topology
Volume	47
Issue number	6
Early online date	1 Oct 2007
DOIs	https://doi.org/10.1016/j.top.2007.09.002
Publication status	Published - Nov 2008

Bibliographical note

Open Archive

Keywords

Homotopy exponent
Moore space
Whitehead product
James–Hopf invariant

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10.1016/j.top.2007.09.002

Cite this

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title = "Homotopy exponents of mod 2(r) Moore spaces",

abstract = "We prove that 2(r+1).pi(*)(P-m(2(r))) = 0 provided m >= 4 and r >= 6. This is the best possible result. As well, for 2 <= r <= 5 we obtain upper bounds on the homotopy exponent of P-m(2(r)). (C) 2007 Elsevier Ltd. All rights reserved.",

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AB - We prove that 2(r+1).pi(*)(P-m(2(r))) = 0 provided m >= 4 and r >= 6. This is the best possible result. As well, for 2 <= r <= 5 we obtain upper bounds on the homotopy exponent of P-m(2(r)). (C) 2007 Elsevier Ltd. All rights reserved.

KW - Homotopy exponent

KW - Moore space

KW - Whitehead product

KW - James–Hopf invariant

U2 - 10.1016/j.top.2007.09.002

DO - 10.1016/j.top.2007.09.002

M3 - Article

SN - 0040-9383

VL - 47

SP - 369

EP - 398

JO - Topology

JF - Topology

IS - 6

ER -

Homotopy exponents of mod 2(r) Moore spaces

Abstract

Bibliographical note

Keywords

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Cite this