In mathematics compact convergence (or uniform convergence on compact sets) is a type of convergence that generalizes the idea of uniform convergence.

28 июл. 2017 г. · It's also known as compact-open topology, in this case specialized to linear functionals. A basis of neighborhoods of 0 in this topology is ... What is Topology of compact-convergence? Topology of Uniform Convergence and Compact-Open Topology general topology - uniform convergence on compact sets in a ... Другие результаты с сайта math.stackexchange.com

In mathematics, the compact-open topology is a topology defined on the set of continuous maps between two topological spaces. Definition · Properties · Applications

28 нояб. 2022 г. · By letting G be the set of all compact subsets of X, X ∗ will have the topology of compact convergence or the topology of uniform convergence on ... Topologies of Uniform... · G-topologies on the...

In [4], Gulick introduced the (7-compact-open topol on C*(X)y where convergence is uniform on all (7-compact subsets of X. latter topology was independently ...

22 окт. 2024 г. · We denote by Cs(X) the set C(X) of real-valued continuous functions defined on X endowed with the topology of the uniform convergence on the ...

6 июн. 2020 г. · The topology of compact convergence is one of the σ- topologies, ie a topology of uniform convergence on sets belonging to a family σ of bounded sets in E.

It is shown that a topology τ on C(X) is a topology of uniform convergence on a collection of compact subsets of X if and only if (*) CT(X) is a locally m- ...

22 окт. 2024 г. · This paper studies two topologies on the set of all continuous real-valued functions on a Tychonoff space which lie between the topologies of ...

continuous (where e(x,])= f(x)). The compact-open topology and the topology of uniform convergence are equal if and only if x is compact. Because ...