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Homeomorph
UK
/ˌhəʊmiˈɒmɔːf/
US
/ˌhoʊmiˈɔrf/
Translation of "homeomorph" into Russian
homeomorph
Noun
UK
/ˌhəʊmiˈɒmɔːf/
US
/ˌhoʊmiˈɔrf/
homeomorph
homeomorphs pl
гомеоморф
The mathematician explained the concept of a homeomorph in topology.
Математик объяснил концепцию гомеоморфа в топологии.
Definitions
homeomorph
Noun
UK
/ˌhəʊmiˈɒmɔːf/
US
/ˌhoʊmiˈɔrf/
A mathematical object that is topologically equivalent to another, meaning there exists a continuous, bijective function with a continuous inverse between them.
In topology, a circle and an ellipse are considered homeomorphs because they can be transformed into each other through continuous deformation.
A mineral that has the same crystal form as another but differs in chemical composition.
Calcite and aragonite are homeomorphs, sharing the same crystal structure but differing in their chemical makeup.
homeomorph
Adjective
UK
/ˌhəʊmiˈɒmɔːf/
US
/ˌhoʊmiˈɔrf/
Topologically equivalent; relating to or being a homeomorph.
The two shapes are in a homeomorph state and can be deformed into each other without cutting.