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
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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 |
|---|---|
| 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: | https://eprints.ugd.edu.mk/id/eprint/4121 |
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