point set topology
noun Date: 1957 a branch of topology concerned with the properties and theory of topological spaces and metric spaces developed with emphasis on set theory

New Collegiate Dictionary. 2001.

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  • point set topology — noun : a branch of topology concerned with the properties and theory of topological spaces and metric spaces developed with emphasis on set theory * * * Math. topology (def. 2). [1955 60] …   Useful english dictionary

  • point-set topology — noun The general field of topology, not restricting attention to specific classes of spaces, and not using algebraic topology …   Wiktionary

  • point set topology — Math. topology (def. 2). [1955 60] * * * …   Universalium

  • point set — noun : a collection of points in geometry or topology * * * point set noun (mathematics) An aggregate • • • Main Entry: ↑point * * * n. (in acupuncture) a set of points stimulated simultaneously to treat a particular ailment or bring about a… …   Useful english dictionary

  • Topology — (Greek topos , place, and logos , study ) is the branch of mathematics that studies the properties of a space that are preserved under continuous deformations. Topology grew out of geometry, but unlike geometry, topology is not concerned with… …   Wikipedia

  • topology — topologic /top euh loj ik/, topological, adj. topologically, adv. topologist, n. /teuh pol euh jee/, n., pl. topologies for 3. Math. 1. the study of those properties of geometric forms that remain invariant under c …   Universalium

  • Point (geometry) — In geometry, topology and related branches of mathematics a spatial point describes a specific point within a given space that consists of neither volume, area, length, nor any other higher dimensional analogue. Thus, a point is a 0 dimensional… …   Wikipedia

  • topology — noun (plural gies) Etymology: International Scientific Vocabulary Date: 1850 1. topographic study of a particular place; specifically the history of a region as indicated by its topography 2. a. (1) a branch of mathematics concerned with those… …   New Collegiate Dictionary

  • Open set — Example: The points (x, y) satisfying x2 + y2 = r2 are colored blue. The points (x, y) satisfying x2 + y2 < r2 are colored red. The red points form an open set. The blue points form a closed set. The union of the red and blue points is a… …   Wikipedia

  • Pointless topology — In mathematics, pointless topology (also called point free or pointfree topology) is an approach to topology which avoids the mentioning of points. General conceptsTraditionally, a topological space consists of a set of points, together with a… …   Wikipedia

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