SOFT TOPOLOJİK UZAYLARIN TERS SİSTEMLERİ

Year 2014, Volume: 1 Issue: 1, 109 - 122, 31.12.2014

Sadi Bayramov Çiğdem Gündüz Aras Nesrin Demırcı

Abstract

Many practical problems in economics, engineering,
environment, social science, medical science etc. cannot be dealt with by
classical methods, because classical method have inherent difficulties. The
reason for these difficulties may be due to the inadequacy of the theories of
parameterization tools. Molodtsov initiated the concept of soft set theory as a
new mathematical tool for dealing with uncertainties. Research works in soft
set theory and its applications in various 
fields have been progressing rapidly since Maji et al. The idea of soft
topological spaces was first given by M. Shabir, M. Naz and mappings between
soft sets were described by P. Majumdar, S.K. Samanta. Later, many researches
about soft topological spaces were studied in



















. In these
studies, the concept of soft point is expressed by different approaches. In the
study we use the concept of soft point which was given in [14]. Soft
topological spaces and soft continuous mapping form category and this category
is extension of category of topological spaces. Also category of fuzzy
topological spaces  is extension of
category of topological spaces.

In this article the closure problem is investigated
according to algebraic operation in the category of soft topological spaces. For
this, the existence of limits of inverse systems of soft topological spaces is
proven.

Keywords

Soft topological spaces, topological spaces

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