This paper introduces the new notion of weakly-α-I-functions and weakly-α-I-paracompact spaces in the ideal topo-logical space. And it obtains that some properties of them.
This paper gives internal characterizations of some sequence covering compact images and compact covering compact images of paracompact locally compact spaces, which improve some results on compact images of locally...This paper gives internal characterizations of some sequence covering compact images and compact covering compact images of paracompact locally compact spaces, which improve some results on compact images of locally compact metric spaces.展开更多
In the first part of this note, we mainly prove that monotone metacompactness is hereditary with respect to closed subspaces and open Fσ-subspaces. For a generalized ordered （GO）-space X, we also show that X is mon...In the first part of this note, we mainly prove that monotone metacompactness is hereditary with respect to closed subspaces and open Fσ-subspaces. For a generalized ordered （GO）-space X, we also show that X is monotonically metacompact if and only if its closed linearly ordered extension X＊ is monotonically metacompact. We also point out that every non-Archimedean space X is monotonically ultraparacompact. In the second part of this note, we give an alternate proof of the result that McAuley space is paracompact and metacompact.展开更多
文摘This paper introduces the new notion of weakly-α-I-functions and weakly-α-I-paracompact spaces in the ideal topo-logical space. And it obtains that some properties of them.
文摘This paper gives internal characterizations of some sequence covering compact images and compact covering compact images of paracompact locally compact spaces, which improve some results on compact images of locally compact metric spaces.
基金Supported by the National Natural Science Foundation of China(Grant No.11271036)Beijing Natural Science Foundation(Grant No.1102002)Doctoral Fund of Innovation of Beijing University of Technology
文摘In the first part of this note, we mainly prove that monotone metacompactness is hereditary with respect to closed subspaces and open Fσ-subspaces. For a generalized ordered （GO）-space X, we also show that X is monotonically metacompact if and only if its closed linearly ordered extension X＊ is monotonically metacompact. We also point out that every non-Archimedean space X is monotonically ultraparacompact. In the second part of this note, we give an alternate proof of the result that McAuley space is paracompact and metacompact.
