Connectivity of the Super-distance Space
Jianye An
Abstract
Jianye An
Abstract
By the property of the super-distance space and the connectedness of topological space,we obtained that all of the super-distance space its subspaces and product spaces are neither connected spaces nor arcwise connected space,meanwhile the super-distance space which isn't discrete topological space isn't partially connected space.
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By the property of the super-distance space and the connectedness of topological space,we obtained that all of the super-distance space its subspaces and product spaces are neither connected spaces nor arcwise connected space,meanwhile the super-distance space which isn't discrete topological space isn't partially connected space.
Key concepts: Space (punctuation), Mathematics, Social connectedness, Linear subspace, Topology (electrical circuits), Zero-dimensional space, Product topology, Connected space