Usually means: Mathematical study of geometric properties.
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We found 10 dictionaries that define the word topologies:

General (6 matching dictionaries)
  1. topologies: Merriam-Webster
  2. topologies: Collins English Dictionary
  3. Topologies, topologies: Wordnik
  4. topologies: Wiktionary
  5. topologies: Dictionary.com
  6. topologies: TheFreeDictionary.com

Computing (1 matching dictionary)
  1. topologies: Encyclopedia

Medicine (2 matching dictionaries)
  1. topologies: Merriam-Webster Medical Dictionary
  2. topologies: Medical dictionary

Science (1 matching dictionary)
  1. topologies: PlanetMath Encyclopedia

(Note: See topology as well.)

Definitions from Wiktionary (topology)

noun:  (mathematics, uncountable) The branch of mathematics dealing with those properties of a geometrical object (of arbitrary dimensionality) that are unchanged by continuous deformations (such as stretching, bending, etc., without tearing or gluing).
noun:  (topology) Any collection τ of subsets of a given set X that contains both the empty set and X, and which is closed under finitary intersections and arbitrary unions.
noun:  (medicine) The anatomical structure of part of the body.
noun:  (computing) The arrangement of nodes in a communications network.
noun:  (technology) The properties of a particular technological embodiment that are not affected by differences in the physical layout or form of its application.
noun:  (topography) The topographical study of geographic locations or given places in relation to their history.
noun:  (dated) The art of, or method for, assisting the memory by associating the thing or subject to be remembered with some place.
▸ Also see topology


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