a topological space X {\displaystyle X} is called a compactly generated space or k-space if its topology is determined by compact spaces in a manner made...

mathematics, compactly generated can refer to: Compactly generated group, a topological group which is algebraically generated by one of its compact subsets...

In mathematics, the category of compactly generated weak Hausdorff spaces CGWH is one of typically used categories in algebraic topology as a substitute...

mathematics, a compactly generated (topological) group is a topological group G which is algebraically generated by one of its compact subsets. This should...

for a compactly generated space in topology K-space (functional analysis) is an F-space such that every twisted sum by the real line splits K-Space (band)...

cube is compact, again a consequence of Tychonoff's theorem. A profinite group (e.g. Galois group) is compact. Compactly generated space Compactness theorem...

compact. Quotient spaces of locally compact Hausdorff spaces are compactly generated. Conversely, every compactly generated Hausdorff space is a quotient...

with compactly generated spaces as objects and continuous maps as morphisms or with the category of compactly generated weak Hausdorff spaces. Like many...

{\displaystyle (X,{\mathcal {T}})} is a compactly generated space, f n → f {\displaystyle f_{n}\to f} compactly, and each f n {\displaystyle f_{n}} is...

with compactly generated spaces in algebraic topology. For that, see the category of compactly generated weak Hausdorff spaces. A k-Hausdorff space is a...