Anick's Spaces and the double Loops of Odd Primary Moore spaces

Stephen D Theriault

doi:10.1090/S0002-9947-00-02622-2

Anick's Spaces and the double Loops of Odd Primary Moore spaces

Stephen D Theriault

Mathematical Science

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

3 Citations (Scopus)

Abstract

Several properties of Anick's spaces are established which give a retraction of Anick's OmegaT(infinity) off Omega (2) P2np+1 (p(r)) if r greater than or equal to 2 and p greater than or equal to 5. The proof is alternate to and more immediate than the two proofs of Neisendorfer's.

Original language	English
Pages (from-to)	1551-1566
Number of pages	15
Journal	Transactions of the American Mathematical Society
Volume	353
DOIs	https://doi.org/10.1090/S0002-9947-00-02622-2
Publication status	Published - 2001

Keywords

loop space decomposition
Hopf invariant
HOMOTOPY-GROUPS
SUSPENSION
TORSION

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10.1090/S0002-9947-00-02622-2

Cite this

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abstract = "Several properties of Anick's spaces are established which give a retraction of Anick's OmegaT(infinity) off Omega (2) P2np+1 (p(r)) if r greater than or equal to 2 and p greater than or equal to 5. The proof is alternate to and more immediate than the two proofs of Neisendorfer's.",

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AU - Theriault, Stephen D

PY - 2001

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AB - Several properties of Anick's spaces are established which give a retraction of Anick's OmegaT(infinity) off Omega (2) P2np+1 (p(r)) if r greater than or equal to 2 and p greater than or equal to 5. The proof is alternate to and more immediate than the two proofs of Neisendorfer's.

KW - loop space decomposition

KW - Hopf invariant

KW - HOMOTOPY-GROUPS

KW - SUSPENSION

KW - TORSION

U2 - 10.1090/S0002-9947-00-02622-2

DO - 10.1090/S0002-9947-00-02622-2

M3 - Article

SN - 0002-9947

VL - 353

SP - 1551

EP - 1566

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

ER -

Anick's Spaces and the double Loops of Odd Primary Moore spaces

Abstract

Keywords

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