Shekutkovski, Nikita and Atanasova-Pacemska, Tatjana and Markoski, Gjorgi
(2012)
*Map of quasicomponents induced by a shape morphism.*
Glasnik Matematicki, 47 (2).
pp. 431-439.
ISSN 1846-7989

Official URL: http://web.math.pmf.unizg.hr/glasnik/

## Abstract

Using the intrinsic definition of shape we prove an analogue of well known Borsuk’s theorem for compact metric spaces. Suppose X and Y are locally compact metric spaces with compact spaces of quasicomponents QX and QY. For a shape morphism f: X → Y there exists a unique continuous map f# :QX → QY, such that for a quasicomponent Q from X and W a clopen set containing f# (Q) the restriction f:Q → W, is a shape morphism, also.

Item Type: | Article |
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Subjects: | Natural sciences > Matematics |

Divisions: | Faculty of Computer Science |

Depositing User: | Tatjana A. Pacemska |

Date Deposited: | 20 Dec 2012 14:07 |

Last Modified: | 04 Oct 2013 09:41 |

URI: | http://eprints.ugd.edu.mk/id/eprint/4121 |

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