linearly compact

Last-modified: 2010-05-15 (土) 15:53:47

実験中

Definition

A topological module is said to be linearly compact if it has a basis of neighbourhoods of zero consisting of submodules, and in which every filter base consisting of cosets with respect to closed submodules has a non-empty intersection.

Properties

Remarks

References

岩波数学辞典第4版16.Z
EoM
Cuong-Nam
I. G. Macdonald, Duality over complete local rings, Topology 1, 213-235.