Topological-equivalence
noun, Mathematics.
1.
the property of two topological spaces such that there is a homeomorphism from one to the other.
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noun, Mathematics. 1. a property of a topological space that is a property of every space related to the given space by a homeomorphism.
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noun, plural topologies for 3. Mathematics. 1. the study of those properties of geometric forms that remain invariant under certain transformations, as bending or stretching. 2. Also called point set topology. the study of limits in sets considered as collections of points. 3. a collection of open sets making a given set a topological space. […]
- Topological-space
noun, Mathematics. 1. a set with a collection of subsets or open sets satisfying the properties that the union of open sets is an open set, the intersection of two open sets is an open set, and the given set and the empty set are open sets. topological space noun 1. (maths) a set S […]
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noun, Mathematics. 1. homeomorphism (def 2).
- Topology
noun, plural topologies for 3. Mathematics. 1. the study of those properties of geometric forms that remain invariant under certain transformations, as bending or stretching. 2. Also called point set topology. the study of limits in sets considered as collections of points. 3. a collection of open sets making a given set a topological space. […]