Add to ORKGAbstract. We answer a question of J.E. Porter by proving that every paracom-pact GO-space is base-paracompact, and we answer questions of of K. Yamazaki by providing an example of a countably compact LOTS which is not base-normal. This example is also the first known ZFC example of a normal space which is not base-normal. 1
AbstractA topological space is said to be totally paracompact if every open base of it has a locally...
AbstractFor any cardinal κ, if X is the box product of a family of discrete spaces in the κ-box topo...
This is the published version, also available here: http://www.dx.doi.org/10.1090/S0273-0979-1982-15...
AbstractA subset G of a topological space is said to be a regular Gδ if it is the intersection of th...
AbstractAccording to Mack a space is countably paracompact if and only if its product with [0,1] is ...
AbstractIn this paper it is proved that a topological space is necessarily paracompact if it is mono...
AbstractWe prove that (i) a collectionwise normal, orthocompact, θm-refinable, [m,ℵ0]-submetacompact...
According to Mack a space is countably paracompact if and only if its product with [0, 1] is δ-norma...
We prove that (i) a collectionwise normal, orthocompact, theta (m)-refinable, [m, N-0]-submetacompac...
AbstractIt is proven that under V = L, every locally compact, countably paracompact space is collect...
summary:A topological space $X$ is called base-base paracompact (John E. Porter) if it has an open b...
AbstractWe will see that:(1) In ZFC, for each subspace X⫅ω21, the following are equivalent;(a) X is ...
The notion of countable (ω)paracompactness is a generalization of the notion of (ω)paracompactness. ...
AbstractIn this paper we examine the role of the β-space property (equivalently of the MCM-property)...
The main purpose of this thesis is to investigate countably paracompact topological spaces. In the s...
AbstractA topological space is said to be totally paracompact if every open base of it has a locally...
AbstractFor any cardinal κ, if X is the box product of a family of discrete spaces in the κ-box topo...
This is the published version, also available here: http://www.dx.doi.org/10.1090/S0273-0979-1982-15...
AbstractA subset G of a topological space is said to be a regular Gδ if it is the intersection of th...
AbstractAccording to Mack a space is countably paracompact if and only if its product with [0,1] is ...
AbstractIn this paper it is proved that a topological space is necessarily paracompact if it is mono...
AbstractWe prove that (i) a collectionwise normal, orthocompact, θm-refinable, [m,ℵ0]-submetacompact...
According to Mack a space is countably paracompact if and only if its product with [0, 1] is δ-norma...
We prove that (i) a collectionwise normal, orthocompact, theta (m)-refinable, [m, N-0]-submetacompac...
AbstractIt is proven that under V = L, every locally compact, countably paracompact space is collect...
summary:A topological space $X$ is called base-base paracompact (John E. Porter) if it has an open b...
AbstractWe will see that:(1) In ZFC, for each subspace X⫅ω21, the following are equivalent;(a) X is ...
The notion of countable (ω)paracompactness is a generalization of the notion of (ω)paracompactness. ...
AbstractIn this paper we examine the role of the β-space property (equivalently of the MCM-property)...
The main purpose of this thesis is to investigate countably paracompact topological spaces. In the s...
AbstractA topological space is said to be totally paracompact if every open base of it has a locally...
AbstractFor any cardinal κ, if X is the box product of a family of discrete spaces in the κ-box topo...
This is the published version, also available here: http://www.dx.doi.org/10.1090/S0273-0979-1982-15...