Commutative comultiplications on the localizations of a wedge sum of spheres and Moore spaces

Dae Woong Lee

doi:10.2298/FIL2415415L

Commutative comultiplications on the localizations of a wedge sum 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

Abstract

Let P be a collection of prime numbers and let M(G, n) be the Moore space of type (G, n), where G is a finitely generated abelian group and n is a positive integer. This paper focuses on the homotopy commutative comultiplication structures on the localization X_P of a wedge X:= S^m ∨ M(G, n) of the m-spheres and Moore spaces for 2 ≤ m < n. A list of examples is provided for examination of the phenomena of commutative comultiplications on X_P up to homotopy.

Original language	English
Pages (from-to)	5415-5430
Number of pages	16
Journal	Filomat
Volume	38
Issue number	15
DOIs	https://doi.org/10.2298/FIL2415415L
State	Published - 2024

Keywords

Co-Hopf space
homotopy commutative comultiplication
localization
Moore space
Whitehead product

Quacquarelli Symonds(QS) Subject Topics

Mathematics

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10.2298/FIL2415415L

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abstract = "Let P be a collection of prime numbers and let M(G, n) be the Moore space of type (G, n), where G is a finitely generated abelian group and n is a positive integer. This paper focuses on the homotopy commutative comultiplication structures on the localization XP of a wedge X:= Sm ∨ M(G, n) of the m-spheres and Moore spaces for 2 ≤ m < n. A list of examples is provided for examination of the phenomena of commutative comultiplications on XP up to homotopy.",

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N2 - Let P be a collection of prime numbers and let M(G, n) be the Moore space of type (G, n), where G is a finitely generated abelian group and n is a positive integer. This paper focuses on the homotopy commutative comultiplication structures on the localization XP of a wedge X:= Sm ∨ M(G, n) of the m-spheres and Moore spaces for 2 ≤ m < n. A list of examples is provided for examination of the phenomena of commutative comultiplications on XP up to homotopy.

AB - Let P be a collection of prime numbers and let M(G, n) be the Moore space of type (G, n), where G is a finitely generated abelian group and n is a positive integer. This paper focuses on the homotopy commutative comultiplication structures on the localization XP of a wedge X:= Sm ∨ M(G, n) of the m-spheres and Moore spaces for 2 ≤ m < n. A list of examples is provided for examination of the phenomena of commutative comultiplications on XP up to homotopy.

KW - Co-Hopf space

KW - homotopy commutative comultiplication

KW - localization

KW - Moore space

KW - Whitehead product

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DO - 10.2298/FIL2415415L

M3 - Journal article

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JF - Filomat

IS - 15

ER -

Commutative comultiplications on the localizations of a wedge sum of spheres and Moore spaces

Abstract

Keywords

Quacquarelli Symonds(QS) Subject Topics

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