topologization

English

Alternative forms

• topologisation

Etymology

topologize +‎ -ation.

Noun

topologization (plural topologizations)

1. (topology) The act or process of topologizing; the result of a process of topologizing, especially the topology so produced.
   • 1963, Donald Bushaw, Elements of General Topology, Wiley, page 29:

     Many of the topological concepts that will be defined later can be incorporated into methods of topologization in the same general way.

   • 1968, A. F. Mutylin, An Example of Nontrivial Topologization of the Field of Rational Numbers: Complete Locally Bounded Fields, V. P. Kompaniec (editor), Fourteen Papers on Algebra, Topology, Algebraic and Differential Geometry, American Mathematical Society Translations, Series 2, Volume 73, page 164,

     The p-adic topologization also does not coincide with ours and is not stronger than it since any U_n contains P_k which is an integer and which is relatively prime with p.

   • 2005, Vladimir Arnautov, Kirill Filippov, “On Group Topologies on an Abelian Group Preceding One Another”, in Svetlana Cojocaru, Gerhard Pfister, Victor Ufnarovski, editors, Computational Commutative and Non-commutative Algebraic Geometry, IOS Press, page 251:

     The problem on the non-discrete Hausdorff topologization of rings was investigated in a series of works.