coarser topology
1coarser — /kawr seuhr, kohr /, adj. Math. of or pertaining to a topology on a topological space whose open sets are included among the open sets of a second specified topology on the space. Cf. finer. [COARSE + ER4] * * * …
2coarser — comparative of coarse * * * /kawr seuhr, kohr /, adj. Math. of or pertaining to a topology on a topological space whose open sets are included among the open sets of a second specified topology on the space. Cf. finer. [COARSE + ER4] …
3Glossary of topology — This is a glossary of some terms used in the branch of mathematics known as topology. Although there is no absolute distinction between different areas of topology, the focus here is on general topology. The following definitions are also… …
4Base (topology) — In mathematics, a base (or basis) B for a topological space X with topology T is a collection of open sets in T such that every open set in T can be written as a union of elements of B. We say that the base generates the topology T. Bases are… …
5Natural topology — In any domain of mathematics, a space has a natural topology if there is a topology on the space which is best adapted to its study within the domain in question. In many cases this imprecise definition means little more than the assertion that… …
6Continuous function (topology) — In topology and related areas of mathematics a continuous function is a morphism between topological spaces. Intuitively, this is a function f where a set of points near f(x) always contain the image of a set of points near x . For a general… …
7Mackey topology — In functional analysis and related areas of mathematics, the Mackey topology, named after George Mackey, is the finest topology for a topological vector space which still preserves the continuous dual. In other words the Mackey topology does not… …
8Spacetime topology — Spacetime topology, the topological structure of spacetime, is a subject studied primarily in general relativity. This physical theory models gravitation as a Lorentzian manifold (a spacetime) and the concepts of topology thus become important in …
9Cover (topology) — In mathematics, a cover of a set X is a collection of sets whose union contains X as a subset. Formally, if is an indexed family of sets Uα, then C is a cover of X if Contents 1 Cover in t …
10Topological space — Topological spaces are mathematical structures that allow the formal definition of concepts such as convergence, connectedness, and continuity. They appear in virtually every branch of modern mathematics and are a central unifying notion. The… …
