Strong connectedness and local strong connectedness of pre-topological spaces
LI Sheng-gang
Abstract
LI Sheng-gang
Abstract
The notions of strong connected topological space and local strong connected topological space were generalized.Properties of such kinds of pre-topological spaces are investigated systematically by using topological and categorical methods.It is proved that LSCPS,the categoy of local strong connected pre-topological spaces and continuous mappings between them,is a topological construct.This kind of generalization is reasonable.
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The notions of strong connected topological space and local strong connected topological space were generalized.Properties of such kinds of pre-topological spaces are investigated systematically by using topological and categorical methods.It is proved that LSCPS,the categoy of local strong connected pre-topological spaces and continuous mappings between them,is a topological construct.This kind of generalization is reasonable.
Key concepts: Social connectedness, Topological space, Mathematics, Connected space, Topology (electrical circuits), Topological manifold, Topological vector space, Separated sets