On Some Universal Constructions for Fuzzy Topological Spaces

Abstract

In this work, many known universal objects such as products, equalizers, pullbacks and their duals, namely, coproducts, coequalizers and pushouts for fuzzy topological spaces are studied in detail. Another known concept of inverse and direct limits on inverse and direct system of fuzzy topological spaces are also studied in more detail. Besides this, we explored some properties of the singular homology groups of fuzzy topological spaces by using the concepts of direct limits on fuzzy direct systems of fuzzy topological spaces.