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Title: Universal Abelian topological groups

Abstract

A topological group G is said to be universal in a class K of topological groups if G element of K and if for every group H element of K there is a subgroup K of G that is isomorphic to H as a topological group. A group is constructed that is universal in the class of separable metrizable topological Abelian groups.

Authors:
 [1]
  1. M.V. Lomonosov Moscow State University, Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
21202873
Resource Type:
Journal Article
Journal Name:
Sbornik. Mathematics
Additional Journal Information:
Journal Volume: 190; Journal Issue: 7; Other Information: DOI: 10.1070/SM1999v190n07ABEH000418; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1064-5616
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GROUP THEORY; MEASURE THEORY; METRICS; TOPOLOGY

Citation Formats

Shkarin, S A. Universal Abelian topological groups. United States: N. p., 1999. Web. doi:10.1070/SM1999V190N07ABEH000418; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Shkarin, S A. Universal Abelian topological groups. United States. doi:10.1070/SM1999V190N07ABEH000418; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
Shkarin, S A. Tue . "Universal Abelian topological groups". United States. doi:10.1070/SM1999V190N07ABEH000418; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA).
@article{osti_21202873,
title = {Universal Abelian topological groups},
author = {Shkarin, S A},
abstractNote = {A topological group G is said to be universal in a class K of topological groups if G element of K and if for every group H element of K there is a subgroup K of G that is isomorphic to H as a topological group. A group is constructed that is universal in the class of separable metrizable topological Abelian groups.},
doi = {10.1070/SM1999V190N07ABEH000418; COUNTRY OF INPUT: INTERNATIONAL ATOMIC ENERGY AGENCY (IAEA)},
journal = {Sbornik. Mathematics},
issn = {1064-5616},
number = 7,
volume = 190,
place = {United States},
year = {1999},
month = {8}
}