Spelling suggestions: "subject:"hausdoff compactification"" "subject:"handoff compactification""
1 |
The Wallman Spaces and CompactificationsLiu, Wei-kong 12 1900 (has links)
If X is a topological space and Y is a ring of closed sets, then a necessary and sufficient condition for the Wallman space W(X,F) to be a compactification of X is that X be T1 andYF separating. A necessary and sufficient condition for a Wallman compactification to be Hausdoff is that F be a normal base. As a result, not all T, compactifications can be of Wallman type. One point and finite Hausdorff compactifications are of Wallman type.
|
Page generated in 0.1133 seconds