A note on transport of algebraic structures

Henrik Granau Holm

A note on transport of algebraic structures

Henrik Granau Holm^*

^*Corresponding author for this work

Department of Mathematical Sciences

1 Citation (Scopus)

Abstract

We study transport of algebraic structures and prove a theorem which subsumes results of Comfort and Ross on topological group structures on Stone-Cech compactifications, of Chevalley and of Gil de Lamadrid and Jans on topological group and ring structures on universal covering spaces, and of Gleason on topological group structures on universal locally connected refinements.

Original language	English
Journal	Theory and Applications of Categories
Volume	30
Pages (from-to)	1121-1131
Number of pages	11
ISSN	1201-561X
Publication status	Published - 20 Aug 2015

Keywords

Algebraic structure
Algebraic theory
Completion of metric space
Equational class
Stone-Cech compactification
Universal covering space
Universal locally connected refinement

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http://www.tac.mta.ca/tac/volumes/30/34/30-34.pdf

Cite this

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title = "A note on transport of algebraic structures",

abstract = "We study transport of algebraic structures and prove a theorem which subsumes results of Comfort and Ross on topological group structures on Stone-Cech compactifications, of Chevalley and of Gil de Lamadrid and Jans on topological group and ring structures on universal covering spaces, and of Gleason on topological group structures on universal locally connected refinements.",

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language = "English",

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N2 - We study transport of algebraic structures and prove a theorem which subsumes results of Comfort and Ross on topological group structures on Stone-Cech compactifications, of Chevalley and of Gil de Lamadrid and Jans on topological group and ring structures on universal covering spaces, and of Gleason on topological group structures on universal locally connected refinements.

AB - We study transport of algebraic structures and prove a theorem which subsumes results of Comfort and Ross on topological group structures on Stone-Cech compactifications, of Chevalley and of Gil de Lamadrid and Jans on topological group and ring structures on universal covering spaces, and of Gleason on topological group structures on universal locally connected refinements.

KW - Algebraic structure

KW - Algebraic theory

KW - Completion of metric space

KW - Equational class

KW - Stone-Cech compactification

KW - Universal covering space

KW - Universal locally connected refinement

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M3 - Journal article

AN - SCOPUS:84940174545

SN - 1201-561X

VL - 30

SP - 1121

EP - 1131

JO - Theory and Applications of Categories

JF - Theory and Applications of Categories

ER -

A note on transport of algebraic structures

Abstract

Keywords

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