PS-closed bitopological spaces
M. Jelić (1986)
Matematički Vesnik
Al-Nashef, Bassam (2003)
International Journal of Mathematics and Mathematical Sciences
Anthony W. Hager (1975)
Commentationes Mathematicae Universitatis Carolinae
J.M. Day (1975)
Semigroup forum
K. E. Thomas (1973)
Colloquium Mathematicae
Jan van Mill (1977)
Mathematische Zeitschrift
Navalagi, G.B. (2002)
International Journal of Mathematics and Mathematical Sciences
Szymański, Andrzej (1984)
Proceedings of the 11th Winter School on Abstract Analysis
Andrzej Szymański (1979)
Commentationes Mathematicae Universitatis Carolinae
M. Mršević (1986)
Matematički Vesnik
Alessandro Caterino (1985)
Commentationes Mathematicae Universitatis Carolinae
H. Priestley (1974)
Fundamenta Mathematicae
Rose, David, Sizemore, Kari, Thurston, Ben (2006)
International Journal of Mathematics and Mathematical Sciences
Egbert Thümmel (1994)
Commentationes Mathematicae Universitatis Carolinae
We give an example of an extremally disconnected compact Hausdorff space with an open continuous selfmap such that the fixed point set is nonvoid and nowhere dense, respṫhat there is exactly one nonisolated fixed point.
Alan Dow, Klaas Hart (2000)
Fundamenta Mathematicae
The Open Colouring Axiom implies that the measure algebra cannot be embedded into P(ℕ)/fin. We also discuss errors in previous results on the embeddability of the measure algebra.
Alan Dow (1998)
Fundamenta Mathematicae
Two compact spaces are co-absoluteif their respective regular open algebras are isomorphic (i.e. homeomorphic Gleason covers). We prove that it is consistent that βω and βℝ are not co-absolute.
Roman Pol (1973)
Fundamenta Mathematicae
Saworotnow, Parfeny P. (1993)
International Journal of Mathematics and Mathematical Sciences
Jason Gait (1972)
Compositio Mathematica
Alan Dow (2003)
Fundamenta Mathematicae
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.