Kvocijentni prostori

Švenda, Lovro (2015) Kvocijentni prostori. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

This paper investigates the properties of topological spaces where the topology is induced by a quotient map. Sufficient conditions on spaces $X$ and $Y$ and a map $f : X \to Y$ so that the induced map $\bar{f}$ is a homeomorphism are found. (Corollary 2.3.21). The example with a circle shows that quotient topology $\mathcal{F}$ indicates the choice of the points to be identified or "glued" together. Other examples (Möbius strip, torus and Klein bottle) are constructed directly, by giving the quotient topology.

Item Type: Thesis (Diploma thesis)
Supervisor: Iljazović, Zvonko
Date: 2015
Number of Pages: 40
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 28 Oct 2015 14:13
Last Modified: 28 Oct 2015 14:13
URI: http://digre.pmf.unizg.hr/id/eprint/4331

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