A compactly generated space is a space that is coherent with the family of its compact subspaces, meaning that for every set A ⊆ X , Definitions · Motivation · Examples · Properties

28 мар. 2024 г. · Compactly generated spaces form a cartesian closed category while still being general enough for most purposes of general topology. Idea · Definition · Examples · Properties

Every open subset of a locally compact space, viewed as a subspace, is compactly generated. Proof. By (7.1) it suffices to note that open subsets of locally ...

21 февр. 2015 г. · A compactly generated space (or k-space) is a topological space whose topology is coherent with the family of all compact subspaces. Every locally compact space is compactly generated Unraveling the various definitions of $k$-space or compactly ... An example of a space which fails to be compactly generated Другие результаты с сайта math.stackexchange.com

5 дек. 2012 г. · Definition 1.1. A topological space X is compactly generated if the following holds: a subset A ⊆ X is open in X if and only if A∩K is open ...

space is compactly generated if it is both weak Hausdorff and a k-space. U denotes the full subcategory of Top consisting of compactly generated spaces.

In mathematics, the category of compactly generated weak Hausdorff spaces, CGWH, is a category used in algebraic topology as an alternative to the category ...

12 авг. 2019 г. · Abstract page for arXiv paper 1908.04287: Compactly generated spaces and quasi-spaces in topology.

This document is a summary of basic facts about the “standard” category of compactly generated spaces introduced by McCord [McC69] (often referred to in the ...

22 мар. 2013 г. · Definition. Let X X be a T1 T 1 space and Y Y a topological space . We define Ck(X,Y) C k ⁢ ( X , Y ) to be the set of functions f:X→Y f : X ...