# On the global behavior of homeomorphisms of metric spaces

## Abstract

For the metric spaces, the homeomorphisms more general than conformal mappings are studied. It is proved that the families of ine indicated mappings are equicontinuous in their closure under definite conditions imposed on the boundaries of the corresponding domains.

- Authors:

- Zhytomyr Ivan Franko State University (Ukraine)

- Publication Date:

- OSTI Identifier:
- 22771217

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Sciences

- Additional Journal Information:
- Journal Volume: 231; Journal Issue: 1; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; BOUNDARY CONDITIONS; CONFORMAL MAPPING; MATHEMATICAL SPACE; METRICS

### Citation Formats

```
Sevost’yanov, Evgeny A., E-mail: esevostyanov2009@gmail.com.
```*On the global behavior of homeomorphisms of metric spaces*. United States: N. p., 2018.
Web. doi:10.1007/S10958-018-3806-0.

```
Sevost’yanov, Evgeny A., E-mail: esevostyanov2009@gmail.com.
```*On the global behavior of homeomorphisms of metric spaces*. United States. doi:10.1007/S10958-018-3806-0.

```
Sevost’yanov, Evgeny A., E-mail: esevostyanov2009@gmail.com. Tue .
"On the global behavior of homeomorphisms of metric spaces". United States. doi:10.1007/S10958-018-3806-0.
```

```
@article{osti_22771217,
```

title = {On the global behavior of homeomorphisms of metric spaces},

author = {Sevost’yanov, Evgeny A., E-mail: esevostyanov2009@gmail.com},

abstractNote = {For the metric spaces, the homeomorphisms more general than conformal mappings are studied. It is proved that the families of ine indicated mappings are equicontinuous in their closure under definite conditions imposed on the boundaries of the corresponding domains.},

doi = {10.1007/S10958-018-3806-0},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 1,

volume = 231,

place = {United States},

year = {2018},

month = {5}

}

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