Dekompozicijski prostori

Moker, Mihaela (2015) Dekompozicijski prostori. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

This diploma thesis is divided in three chapters. Basic notions like topology, topological space and basis of topology are defined in the first chapter. The second chapter consists of the theme of this diploma thesis, more exactly it is talking about decomposition spaces. Decomposition topology and decomposition spaces are defined here and numerous examples of such spaces are given. This chapter also speaks of Hausdorff spaces. In third, final chapter, a special case of decomposition space is analyzed, also known as quotient space, more precisely quotient of topological space and set. Decomposition map is also defined here, as well as compactness and some of their properties.

Item Type: Thesis (Diploma thesis)
Supervisor: Iljazović, Zvonko
Date: 2015
Number of Pages: 39
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 23 Oct 2015 09:11
Last Modified: 23 Oct 2015 09:11
URI: http://digre.pmf.unizg.hr/id/eprint/4301

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