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).

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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

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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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Greek: The noun Greek refers to:...

Topological space: Topological spaces are structures that allow one to formalize concepts such as convergence, connectedness and continuity. They appear in virtually every branch of modern mathematics and are a central unifying notion. The branch of mathematics that studies topological spaces in their own right is cal...

Latin: Latin is an Indo-European language originally spoken in the region around Rome called Latium. It gained great importance as the formal language of the Roman Empire. All Romance languages are descended from Latin, and many words based on Latin are found in other modern languages such as English. The ...