A note on transport of algebraic structures

Henrik Granau Holm

A note on transport of algebraic structures

Henrik Granau Holm^*

^*Corresponding author af dette arbejde

Institut for Matematiske Fag

1 Citationer (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.

Originalsprog	Engelsk
Tidsskrift	Theory and Applications of Categories
Vol/bind	30
Sider (fra-til)	1121-1131
Antal sider	11
ISSN	1201-561X
Status	Udgivet - 20 aug. 2015

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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.",

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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language = "English",

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AU - Holm, Henrik Granau

PY - 2015/8/20

Y1 - 2015/8/20

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

UR - http://www.scopus.com/inward/record.url?scp=84940174545&partnerID=8YFLogxK

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

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