topologization

plural topologizations · alternative topologisation

1. mathematicsThe act or process of topologizing; the result of a process of topologizing, especially the topology so produced.

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

   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

   2 more examples

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

   1963, Donald Bushaw, Elements of General Topology, Wiley, page 29

   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 Uₙ contains Pₖ which is an integer and which is relatively prime with p.