证明了如下结果：（1）如果X=multiply from t∈∑ Xτ是∑-仿紧空间,则X是subortho-紧空间当且仅当F∈[∑]〈ε,X=multiply from τ∈F Xτ是subortho-紧空间.（2）设X=multiply from i∈ω Xi是可数仿紧的,则下列3y条等价：X是subort...证明了如下结果：（1）如果X=multiply from t∈∑ Xτ是∑-仿紧空间,则X是subortho-紧空间当且仅当F∈[∑]〈ε,X=multiply from τ∈F Xτ是subortho-紧空间.（2）设X=multiply from i∈ω Xi是可数仿紧的,则下列3y条等价：X是subortho-紧的;F∈[ω]〈ω,X=multiply from i∈F Xi是subortho-紧的;n∈ω,multiply from i≤n Xi是subortho-紧的.展开更多
This paper proves the following results: Le t X= lim ←｛X σ,π σ ρ,Λ｝,｜Λ｜=λ, and every p rojection π σ: X→X σ be an open and onto mapping. (A) If X is λ-paracompact and every X σ is normal and δθ-ref...This paper proves the following results: Le t X= lim ←｛X σ,π σ ρ,Λ｝,｜Λ｜=λ, and every p rojection π σ: X→X σ be an open and onto mapping. (A) If X is λ-paracompact and every X σ is normal and δθ-refinable, then X is normal and δθ-refinable; (B) If X is hereditarily λ-pa racompact and every X σ is hereditarily normal and hereditarily δθ- refinable, then X is hereditarily normal and hereditarily δθ-refiable .展开更多
Taking advantage of result in [1], this paper studied generalized quasi variational inequalities on paracompact sets, unified and extended corresponding results in [4-6].
The concept of soft topological space was introduced by some authors. In the present paper, we investigate some basic notions of soft topological spaces by using new soft point concept. Later we give soft locally comp...The concept of soft topological space was introduced by some authors. In the present paper, we investigate some basic notions of soft topological spaces by using new soft point concept. Later we give soft locally compact space and the relationships between them are discussed in detail. Finally, we define soft paracompactness and explore some of its basic properties.展开更多
The author proves several embedding theorems for finite covering maps, principal G-bundlesinto bundles. The main results are1. Let π: E→X be a finite covering mapt and X a connected locally pathconnectedparacompact ...The author proves several embedding theorems for finite covering maps, principal G-bundlesinto bundles. The main results are1. Let π: E→X be a finite covering mapt and X a connected locally pathconnectedparacompact space. If cat X≤5 k, then the finite covering space π: E→X can be embeddedinto the trivial real k-plane bundle.2. Let x: E→ X be a principal G-bundle over a paracompact space. If there exists alinear action of G on F (F = R or C) and cat X≤ k, then π: E→X can be embedded intofor any F-vector bundles ζi, i = 1,’’’ k.展开更多
The following results are proved:1. Let X be a screenable p-space and Y a metric space. Then X × Y is screenable.2. Let X be a strongly submetacompact p-space and Y a metacompact Σ-space. ThenN × Y is stron...The following results are proved:1. Let X be a screenable p-space and Y a metric space. Then X × Y is screenable.2. Let X be a strongly submetacompact p-space and Y a metacompact Σ-space. ThenN × Y is strongly submetacompact.3. Suppose that X = ∏ Xn is countably paracompact and for each n < ω, ∏ Xi issubmota-Lindelsf Then X is submeta-Lindelof展开更多
文摘证明了如下结果：（1）如果X=multiply from t∈∑ Xτ是∑-仿紧空间,则X是subortho-紧空间当且仅当F∈[∑]〈ε,X=multiply from τ∈F Xτ是subortho-紧空间.（2）设X=multiply from i∈ω Xi是可数仿紧的,则下列3y条等价：X是subortho-紧的;F∈[ω]〈ω,X=multiply from i∈F Xi是subortho-紧的;n∈ω,multiply from i≤n Xi是subortho-紧的.
文摘This paper proves the following results: Le t X= lim ←｛X σ,π σ ρ,Λ｝,｜Λ｜=λ, and every p rojection π σ: X→X σ be an open and onto mapping. (A) If X is λ-paracompact and every X σ is normal and δθ-refinable, then X is normal and δθ-refinable; (B) If X is hereditarily λ-pa racompact and every X σ is hereditarily normal and hereditarily δθ- refinable, then X is hereditarily normal and hereditarily δθ-refiable .
文摘Taking advantage of result in [1], this paper studied generalized quasi variational inequalities on paracompact sets, unified and extended corresponding results in [4-6].
文摘The concept of soft topological space was introduced by some authors. In the present paper, we investigate some basic notions of soft topological spaces by using new soft point concept. Later we give soft locally compact space and the relationships between them are discussed in detail. Finally, we define soft paracompactness and explore some of its basic properties.
文摘The author proves several embedding theorems for finite covering maps, principal G-bundlesinto bundles. The main results are1. Let π: E→X be a finite covering mapt and X a connected locally pathconnectedparacompact space. If cat X≤5 k, then the finite covering space π: E→X can be embeddedinto the trivial real k-plane bundle.2. Let x: E→ X be a principal G-bundle over a paracompact space. If there exists alinear action of G on F (F = R or C) and cat X≤ k, then π: E→X can be embedded intofor any F-vector bundles ζi, i = 1,’’’ k.
文摘The following results are proved:1. Let X be a screenable p-space and Y a metric space. Then X × Y is screenable.2. Let X be a strongly submetacompact p-space and Y a metacompact Σ-space. ThenN × Y is strongly submetacompact.3. Suppose that X = ∏ Xn is countably paracompact and for each n < ω, ∏ Xi issubmota-Lindelsf Then X is submeta-Lindelof
