Abstract♦ implies that there is a countably compact noncompact space X so that X×X is hereditarily normal.This shows that the following statement is independent from ZFC: Every countably compact X with X×X hereditarily normal is compact
summary:We prove that every compact space $X$ is a Čech-Stone compactification of a normal subspace ...
summary:We prove that every compact space $X$ is a Čech-Stone compactification of a normal subspace ...
AbstractA separarion property called ↗-normal and weaker than normality is investigated. The main re...
Abstract♦ implies that there is a countably compact noncompact space X so that X×X is hereditarily n...
AbstractA γN-space is a locally compact Hausdorff space with a countable dense set of isolated point...
AbstractA space X is said to be countably tight if, for each A ⊂ X and each point x in the closure o...
AbstractIf X is a countably compact space and if exp(X) is hereditarily weakly normal, then X is a p...
AbstractA γN-space is a locally compact Hausdorff space with a countable dense set of isolated point...
AbstractA space X is said to be countably tight if, for each A ⊂ X and each point x in the closure o...
AbstractIf X is locally compact, then X is the Stone-Čech remainder of a normal space. A partial con...
AbstractWe show that if X is countably compact but not compact then one can find a compact space K s...
AbstractWe use the space (ω1,τ(C→)) associated with a guessing sequence C→ on ω1 to show that it is ...
We use topological consequences of PFA, MA$_{\omega_1}$(S)[S] and PFA(S)[S] proved by other authors ...
AbstractWe give a proof that every compact, hereditarily paracompact, monotonically normal space is ...
summary:We define two natural normality type properties, $\alpha$-normality and $\beta$-normality, a...
summary:We prove that every compact space $X$ is a Čech-Stone compactification of a normal subspace ...
summary:We prove that every compact space $X$ is a Čech-Stone compactification of a normal subspace ...
AbstractA separarion property called ↗-normal and weaker than normality is investigated. The main re...
Abstract♦ implies that there is a countably compact noncompact space X so that X×X is hereditarily n...
AbstractA γN-space is a locally compact Hausdorff space with a countable dense set of isolated point...
AbstractA space X is said to be countably tight if, for each A ⊂ X and each point x in the closure o...
AbstractIf X is a countably compact space and if exp(X) is hereditarily weakly normal, then X is a p...
AbstractA γN-space is a locally compact Hausdorff space with a countable dense set of isolated point...
AbstractA space X is said to be countably tight if, for each A ⊂ X and each point x in the closure o...
AbstractIf X is locally compact, then X is the Stone-Čech remainder of a normal space. A partial con...
AbstractWe show that if X is countably compact but not compact then one can find a compact space K s...
AbstractWe use the space (ω1,τ(C→)) associated with a guessing sequence C→ on ω1 to show that it is ...
We use topological consequences of PFA, MA$_{\omega_1}$(S)[S] and PFA(S)[S] proved by other authors ...
AbstractWe give a proof that every compact, hereditarily paracompact, monotonically normal space is ...
summary:We define two natural normality type properties, $\alpha$-normality and $\beta$-normality, a...
summary:We prove that every compact space $X$ is a Čech-Stone compactification of a normal subspace ...
summary:We prove that every compact space $X$ is a Čech-Stone compactification of a normal subspace ...
AbstractA separarion property called ↗-normal and weaker than normality is investigated. The main re...