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General problem on approximation continues mappings of topological spaces


Author: Ipate Dumitru
Degree:doctor habilitat of physics and mathematics
Speciality: 01.01.04 - Geometry and topology
Year:2007
Scientific consultant: Mitrofan Cioban
doctor habilitat, professor, Tiraspol State University
Institution:
Scientific council:

Status

The thesis was presented on the 15 November, 2007
Approved by NCAA on the 20 December, 2007

Abstract

Adobe PDF document0.49 Mb / in romanian

Thesis

CZU 513.83

Adobe PDF document 1.23 Mb / in romanian
184 pages


Keywords

exponential topology; space of mappings; functional spaces; the Nachbin weight; the weight with sensible sign; space with binary relation

Summary

The thesis is devoted to general theory of set-valued mappings and their applications.

The following problems are considered în the thesis:

;

For this aim, on the spaces of subsets we study the semi-continuous topologies, the exponential topology and the Hausdorff topology.These facts permit us:

The results of thesis have solved some problems raised by other mathematicians and can be applied for further investigations în the theory of mappings and functions, în the theory of topological spaces and in the courses of lectures.