Homotopy comultiplications on the localization of a wedge of spheres and Moore spaces

Dae Woong Lee

doi:10.3934/era.2022103

Homotopy comultiplications on the localization of a wedge of spheres and Moore spaces

Dae Woong Lee^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

2 Scopus citations

Abstract

For an abelian group G and a positive integer n, we set M (G, n) as a Moore space of type (G, n). In this paper, for a prime number p, we are interested in the structure of homotopy comultiplications on the localization L_(p) of a wedge L:= S^m∨ M (G, n) of the homotopy spheres and the Moore spaces for 2 ≤ m< n. We also provide a list of examples to examine the phenomena of homotopy comultiplications on L_(p).

Original language	English
Pages (from-to)	2033-2053
Number of pages	21
Journal	Electronic Research Archive
Volume	30
DOIs	https://doi.org/10.3934/era.2022103
State	Published - 2022

Keywords

Comultiplication
Hilton-Milnor formula
localization
Moore space
Whitehead product

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.3934/era.2022103

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title = "Homotopy comultiplications on the localization of a wedge of spheres and Moore spaces",

abstract = "For an abelian group G and a positive integer n, we set M (G, n) as a Moore space of type (G, n). In this paper, for a prime number p, we are interested in the structure of homotopy comultiplications on the localization L(p) of a wedge L:= Sm∨ M (G, n) of the homotopy spheres and the Moore spaces for 2 ≤ m< n. We also provide a list of examples to examine the phenomena of homotopy comultiplications on L(p).",

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N2 - For an abelian group G and a positive integer n, we set M (G, n) as a Moore space of type (G, n). In this paper, for a prime number p, we are interested in the structure of homotopy comultiplications on the localization L(p) of a wedge L:= Sm∨ M (G, n) of the homotopy spheres and the Moore spaces for 2 ≤ m< n. We also provide a list of examples to examine the phenomena of homotopy comultiplications on L(p).

AB - For an abelian group G and a positive integer n, we set M (G, n) as a Moore space of type (G, n). In this paper, for a prime number p, we are interested in the structure of homotopy comultiplications on the localization L(p) of a wedge L:= Sm∨ M (G, n) of the homotopy spheres and the Moore spaces for 2 ≤ m< n. We also provide a list of examples to examine the phenomena of homotopy comultiplications on L(p).

KW - Comultiplication

KW - Hilton-Milnor formula

KW - localization

KW - Moore space

KW - Whitehead product

UR - https://www.scopus.com/pages/publications/85129626584

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DO - 10.3934/era.2022103

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AN - SCOPUS:85129626584

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JO - Electronic Research Archive

JF - Electronic Research Archive

ER -

Homotopy comultiplications on the localization of a wedge of spheres and Moore spaces

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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