Topology

Topology (Greek topos, place and logos, study) is a branch of mathematics concerned with the study of topological spaces. When the discipline was first introduced it was called analysis situs (Latin analysis of place).

Related Topics:
Greek - Mathematics - Topological space - Latin

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Topology is concerned with the study of the so-called topological properties of figures, that is to say, properties that do not change under bicontinuous one-to-one transformations (called homeomorphisms). Two figures that can be deformed one into the other

Related Topics:
Topological properties - Homeomorphism

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are called homeomorphic, and are considered to be the same from

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the topological point of view. For example a solid cube and a solid sphere are homeomorphic.

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However, it is not possible to deform a sphere into a circle by a

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bicontinuous one-to-one transformation. Dimension is in fact a

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topological property. In a sense, topological properties are the

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deeper properties of figures.

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The topology glossary contains definitions of terms used throughout topology.

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