The purpose of this thesis is to investigate the consequences of paracompactness and pointwise paracompactness in semi-metric spaces. In the first chapter it is shown that paracompactness implies normality in a regular topological space. The second chapter is concerned with various separability and compactness conditions. The main theorem of the third chapter shows that the closure of a limit compact subset of a regular countably pointwise paracompact semi-metric space is limit compact.Mathematics, Department o
AbstractIt is shown that a regular space is collectionwise normal and countably paracompact if every...
AbstractIn this paper it is proved that a topological space is necessarily paracompact if it is mono...
This paper will be devoted to an exposition of some of the basic properties of paracompact spaces. I...
AbstractIt is well known that any metric space is paracompact. As a generalization of metric spaces,...
Abstract We let (X, τ) be a topological space and (X, τ∗) its semiregulariza-tion. Then a topologica...
The main purpose of this thesis is to investigate countably paracompact topological spaces. In the s...
We continue the study of semicompact sets in a topological space. Several properties, mapping proper...
AbstractWe prove that (i) a collectionwise normal, orthocompact, θm-refinable, [m,ℵ0]-submetacompact...
Abstract. A new definition of pairwise paracompactness is given. Among other results, an analogue of...
AbstractIn [7], Tamano raised the question of whether or not a space which admits a closure- preserv...
It is well known that every countably compact, meta compact (T-) space is compact, and it is easy to...
It is well known that every countably compact, meta compact (T-) space is compact, and it is easy to...
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...
AbstractFor paracompact nearness spaces, we prove a generalization of the classical theorem of Micha...
AbstractIt is shown that a regular space is collectionwise normal and countably paracompact if every...
AbstractIn this paper it is proved that a topological space is necessarily paracompact if it is mono...
This paper will be devoted to an exposition of some of the basic properties of paracompact spaces. I...
AbstractIt is well known that any metric space is paracompact. As a generalization of metric spaces,...
Abstract We let (X, τ) be a topological space and (X, τ∗) its semiregulariza-tion. Then a topologica...
The main purpose of this thesis is to investigate countably paracompact topological spaces. In the s...
We continue the study of semicompact sets in a topological space. Several properties, mapping proper...
AbstractWe prove that (i) a collectionwise normal, orthocompact, θm-refinable, [m,ℵ0]-submetacompact...
Abstract. A new definition of pairwise paracompactness is given. Among other results, an analogue of...
AbstractIn [7], Tamano raised the question of whether or not a space which admits a closure- preserv...
It is well known that every countably compact, meta compact (T-) space is compact, and it is easy to...
It is well known that every countably compact, meta compact (T-) space is compact, and it is easy to...
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...
AbstractFor paracompact nearness spaces, we prove a generalization of the classical theorem of Micha...
AbstractIt is shown that a regular space is collectionwise normal and countably paracompact if every...
AbstractIn this paper it is proved that a topological space is necessarily paracompact if it is mono...
This paper will be devoted to an exposition of some of the basic properties of paracompact spaces. I...