Two results on special points

• Autorzy: Alan Dow
• Języki publikacji: EN

Abstrakty

EN

We show that there is a nowhere ccc σ-compact space which has a remote point. We show that it is consistent to have a non-compact σ-compact separable space X such that every point of the remainder is a limit of a countable discrete subset of non-isolated points of X. This example shows that one cannot prove in ZFC that every locally compact non-compact space has discrete weak P-points.

Kategorie tematyczne

• 54G05: Extremally disconnected spaces, F -spaces, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2003
• Tom: 176
• Numer: 2
• Strony: 171-179

Daty

wydano

2003

Twórcy

autor

Alan Dow

• Department of Mathematics, University of North Carolina at Charlotte, 9201 University City Boulevard, Charlotte, NC 28262-001, U.S.A.

Identyfikatory

DOI

10.4064/fm176-2-5