AbstractImproving a result of M. Rabus we force a normal, locally compact, 0-dimensional, Frechet-Urysohn, initially ω1-compact and noncompact space X of size ω2 having the following property: for every open (or closed) set A in X we have ¦ A ¦ ⩽ ω1 or ¦ X β A ¦ ⩽ ω1
Countable tightness may be destroyed by countably closed forcing. We characterize the indestructibil...
Countable tightness may be destroyed by countably closed forcing. We characterize the indestructibil...
Abstract♦ implies that there is a countably compact noncompact space X so that X×X is hereditarily n...
AbstractImproving a result of M. Rabus we force a normal, locally compact, 0-dimensional, Frechet-Ur...
AbstractWe force a first countable, normal, locally compact, initially ω1-compact but non-compact sp...
AbstractWe force a first countable, normal, locally compact, initially ω1-compact but non-compact sp...
AbstractWe answer a question of J. Gerlits by constructing a polyadic space of countable tightness w...
AbstractValdivia invented a nondistinguished Fréchet space whose weak bidual is quasi-Suslin but not...
AbstractIn this paper we investigate for nowhere locally compact realcompact spaces X the question w...
AbstractWe prove that if X is a compact T2 space (and x ϵ X) and π(X)=κ (πχ(x, X)=κ), then there is ...
AbstractWe show that a large cardinal is not necessary to prove the consistency of the recent PFA re...
1 Starting from a supercompact cardinal κ, we force and construct a model in which κ is both the lea...
AbstractTwo classes of compacta were introduced: the class of metrcompacta and more wide class of we...
AbstractIf M is an elementary submodel and X a topological space, then XM denotes the set X∩M given ...
AbstractStarting from a supercompact cardinal κ, we force and construct a model in which κ is both t...
Countable tightness may be destroyed by countably closed forcing. We characterize the indestructibil...
Countable tightness may be destroyed by countably closed forcing. We characterize the indestructibil...
Abstract♦ implies that there is a countably compact noncompact space X so that X×X is hereditarily n...
AbstractImproving a result of M. Rabus we force a normal, locally compact, 0-dimensional, Frechet-Ur...
AbstractWe force a first countable, normal, locally compact, initially ω1-compact but non-compact sp...
AbstractWe force a first countable, normal, locally compact, initially ω1-compact but non-compact sp...
AbstractWe answer a question of J. Gerlits by constructing a polyadic space of countable tightness w...
AbstractValdivia invented a nondistinguished Fréchet space whose weak bidual is quasi-Suslin but not...
AbstractIn this paper we investigate for nowhere locally compact realcompact spaces X the question w...
AbstractWe prove that if X is a compact T2 space (and x ϵ X) and π(X)=κ (πχ(x, X)=κ), then there is ...
AbstractWe show that a large cardinal is not necessary to prove the consistency of the recent PFA re...
1 Starting from a supercompact cardinal κ, we force and construct a model in which κ is both the lea...
AbstractTwo classes of compacta were introduced: the class of metrcompacta and more wide class of we...
AbstractIf M is an elementary submodel and X a topological space, then XM denotes the set X∩M given ...
AbstractStarting from a supercompact cardinal κ, we force and construct a model in which κ is both t...
Countable tightness may be destroyed by countably closed forcing. We characterize the indestructibil...
Countable tightness may be destroyed by countably closed forcing. We characterize the indestructibil...
Abstract♦ implies that there is a countably compact noncompact space X so that X×X is hereditarily n...
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