# 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:

- 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}

}

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