topolog
Topolog is a branch of mathematics that studies properties of spaces that are preserved under continuous deformations, such as stretching and bending but not tearing or gluing. In English, the field is called topology. The term topolog may appear as a transliteration in some languages or as a misspelling in English.
This article covers core ideas: A topological space consists of a set equipped with a topology, a
Topologies give rise to concepts such as subspace topology, product topology, and quotient topology. Important themes
Classic examples include the real numbers with the standard topology, the discrete topology (where every subset
Topolog has influenced many areas of mathematics and science, including analysis, geometry, and data science, where