definition of locally compact arises from different senses of the term locally. Locally compact topological spaces Locally connected and Locally path-connected

Mar 2nd 2017

topology and related branches of mathematics, a topological space is called locally compact if, roughly speaking, each small portion of the space looks like

Mar 6th 2016

functional analysis and related areas of mathematics, locally convex topological vector spaces or locally convex spaces are examples of topological vector

Mar 10th 2016

mathematical field of commutative algebra, an ideal I in a commutative ring A is locally nilpotent at a prime ideal p if Ip, the localization of I at p, is a nilpotent

Jun 14th 2015

dimension. A collection of subsets of a topological space X is said to be locally finite, if each point in the space has a neighbourhood that intersects

May 7th 2015

In topology and other branches of mathematics, a topological space X is locally connected if every point admits a neighbourhood basis consisting entirely

Feb 19th 2017

called locally constant, if for every a in A there exists a neighborhood U of a, such that f is constant on U. Every constant function is locally constant

Apr 23rd 2016

In mathematics, a locally integrable function (sometimes also called locally summable function) is a function which is integrable (so its integral is finite)

Oct 9th 2016

The phrase "Think globally, act locally" or "Think global, act local" has been used in various contexts, including planning, environment, education, mathematics

May 7th 2017

space Locally finite group Locally finite measure Locally finite operator in linear algebra Locally finite poset Locally finite space, a topological

Sep 8th 2013

mathematics, a locally compact group is a topological group G for which the underlying topology is locally compact and Hausdorff. Locally compact groups

Aug 31st 2016

In mathematics, specifically algebraic topology, semi-locally simply connected is a certain local connectedness condition that arises in the theory of

Jul 9th 2016

topology, a topological space X is locally normal if intuitively it looks locally like a normal space. More precisely, a locally normal space satisfies the property

Apr 15th 2012

a topological space X is locally regular if intuitively it looks locally like a regular space. More precisely, a locally regular space satisfies the

Dec 29th 2013

some facts: Every-Hausdorff Every Hausdorff space is locally Hausdorff. Every locally Hausdorff space is T1. There are locally Hausdorff spaces where a sequence has

May 4th 2017

Equivalently, a locally profinite group is a topological group that is hausdorff locally compact and totally disconnected. Moreover, a locally profinite group

Dec 11th 2012

simply connected space is also locally path-connected and locally connected. The circle is an example of a locally simply connected space which is

Oct 6th 2015

locally finite poset is a partially ordered set P such that for all x, y ∈ P, the interval [x, y] consists of finitely many elements. Given a locally

Jan 3rd 2016

mathematical field of topology, a locally finite space is a topological space in which every point has a finite neighborhood. A locally finite space is Alexandrov

Oct 2nd 2016

In mathematics, a function is locally bounded if it is bounded around every point. A family of functions is locally bounded if for any point in their

Jul 26th 2016

contractible but not locally contractible (if it were, it would be locally connected which it is not). Locally contractible spaces are locally n-connected for

Feb 6th 2017

A locally decodable code (LDC) is an error-correcting code that allows a single bit of the original message to be decoded with high probability by only

Mar 19th 2017

every locally cyclic group is abelian. Every finitely-generated locally cyclic group is cyclic. Every subgroup and quotient group of a locally cyclic

Oct 11th 2015

manifold is a topological space (which may also be a separated space) which locally resembles real n-dimensional space in a sense defined below. Topological

May 2nd 2017

In mathematics, in the field of group theory, a locally finite group is a type of group that can be studied in ways analogous to a finite group. Sylow

Dec 17th 2016

many compact subspaces. A space is said to be σ-locally compact if it is both σ-compact and locally compact. Every compact space is σ-compact, and

Nov 15th 2016

In mathematics, a locally finite measure is a measure for which every point of the measure space has a neighbourhood of finite measure. Let (X, T) be

Oct 11th 2016

Pontryagin duality explains the general properties of the Fourier transform on locally compact groups, such as R

May 22nd 2017

Macmillan Caring Locally (formerly The Macmillan Cancer Trust) is a British registered charity (no. 268218), which was formed in 1974 to support a palliative

Feb 22nd 2017

In algebra, a locally compact field is a topological field whose topology forms a locally compact space (in particular, it is a Hausdorff space). Examples

Oct 30th 2016

subsets are said to be locally discrete if they look like they have precisely one element from a local point of view. The study of locally discrete collections

May 24th 2012

LOESS[pronunciation?] and LOWESS (locally weighted scatterplot smoothing) are two strongly related non-parametric regression methods that combine multiple

Apr 14th 2017

A locally testable code is a type of error-correcting code for which it can be determined if a string is a word in that code by looking at a small (frequently

Nov 14th 2016

sheaf of rings X OX on X. The sheaf X OX is called the structure sheaf of X. A locally ringed space is a ringed space (X, X OX) such that all stalks of X OX are local

Apr 20th 2017

In mathematics, a locally catenative sequence is a sequence of words in which each word can be constructed as the concatenation of previous words in the

Feb 19th 2016

As of November 2010, there were 59 locally listed buildings in Crawley, a town and borough in the county of West Sussex in southeast England. One of these

Sep 14th 2016

In numerical analysis, an iterative method is called locally convergent if the successive approximations produced by the method are guaranteed to converge

Dec 2nd 2012

A locally compact quantum group is a relatively new C*-algebraic approach toward quantum groups that generalizes the Kac algebra, compact-quantum-group

May 19th 2017

local optimum can be isolated (surrounded by non-locally-optimal points) or part of a plateau, a locally optimal region with more than one point of equal

Aug 3rd 2016

Liberating Ourselves Locally is a makerspace/hackerspace in the Fruitvale district of Oakland, California. It is part of the Bay Area Consortium of Hackerspaces

Feb 27th 2017

the subsets. See also countably locally finite, point finite. Locally metrizable/Locally metrisable A space is locally metrizable if every point has a

Jan 12th 2017

regular, Hausdorff and has a σ-locally finite base. A σ-locally finite base is a base which is a union of countably many locally finite collections of open

Jul 26th 2016

schemes is said to be locally acyclic if, roughly, any sheaf on S and its restriction to X through f have the same etale cohomology, locally. For example, a

Jan 25th 2015

Globally asynchronous locally synchronous (GALS) is a Model of Computation (MoC) that emerged in the 1980s. It is based on the synchronous programming

Nov 10th 2016

manifold of larger dimension. In the category of topological manifolds, locally flat submanifolds play a role similar to that of embedded submanifolds

Apr 19th 2017

locally Riemannian symmetric if and only if its curvature tensor is covariantly constant, and furthermore that any simply connected, complete locally

Apr 25th 2017

topological properties: X is locally connected if and only if f(X) is X is locally path-connected if and only if f(X) is X is locally compact if and only if

Jul 9th 2016

C {\displaystyle C} is called locally presentable. Locally presentable categories are also complete. J. Rosicky "On combinatorial

Sep 16th 2016

subset of a locally connected (resp. locally path-connected) space is locally connected (resp. locally path-connected). Every manifold is locally path-connected

Apr 22nd 2017

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