In mathematics, a topological space is usually defined in terms of open sets. However, there are many equivalent characterizations of the category of topological spaces. Each of these definitions provides a new way of thinking about topological concepts, and many of these have led to further lines of inquiry and generalisation.
Read more about Characterizations Of The Category Of Topological Spaces: Definitions, Definition Via Open Sets, Definition of A Topology, Definition Via Closed Sets, Definition Via Closure Operators, Definition Via Interior Operators, Definition Via Neighbourhoods, Definition Via Convergence
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