In the mathematical field of topology, a homeomorphism or topological isomorphism or bi continuous function is a continuous function between topological spaces that has a continuous inverse function. Homeomorphisms are the isomorphisms in the category of topological spaces—that is, they are the mappings that preserve all the topological properti...
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[graph theory] ==Subdivision and smoothing == In general, a subdivision of a graph G (sometimes known as an expansion) is a graph resulting from the subdivision of edges in G. The subdivision of some edge e with endpoints {u,v} yields a graph containing one new vertex w, and with an edge set replacing e by two new edges, {u,w} and {w,v}. Fo...
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in mathematics, a correspondence between two figures or surfaces or other geometrical objects, defined by a one-to-one mapping that is continuous in ... [3 related articles]
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A one-to-one continuous transformation that preserves open and closed sets.
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homeomorphism 1. In chemistry, a close similarity in the crystal forms of unlike compounds. 2. In mathematics, a continuous bijection between two figures whose inverse is also continuous.
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homeomorphism, homeomorphic 1. Similarity in crystalline form but not necessarily in chemical composition. 2. In mathematics: A function between two topological spaces that is continuous, one-to-one, and onto, and the inverse of which is continuous. Also called topological transformation. 3. A correspondence between the points of two geometric sha...
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similarity in crystalline form but not necessarily in chemical composition. · a function between two topological spaces that is continuous, one-to-one, and onto, and the inverse of which is continuous. Also called
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