scholarly journals Onπ-Images of Locally Separable Metric Spaces

2008 ◽  
Vol 2008 ◽  
pp. 1-8 ◽  
Author(s):  
Tran Van An ◽  
Nguyen Van Dung
Keyword(s):  
Metric Spaces ◽  
Locally Separable Metric Spaces

We characterizeπ-images of locally separable metric spaces by means of covers havingπ-property. As its application, we obtain characterizations of compact-covering (sequence-covering, pseudo-sequence-covering, and sequentially quotient)π-images of locally sparable metric spaces.

Weak-open images of locally separable metric spaces

2011 ◽  
Vol 48 (2) ◽  
pp. 145-159
Author(s):  
Zhaowen Li ◽  
Xun Ge ◽  
Qingguo Li
Keyword(s):  
Metric Space ◽  
Metric Spaces ◽  
Weak Base ◽  
Cosmic Space ◽  
Locally Separable Metric Spaces ◽  
Separable Metric Space

In this paper, we prove that a space X is a weak-open compact image of a locally separable metric space if and only if X has a uniform cosmic-weak-base if and only if X is a weak-open compact image of a metric space and a locally cosmic space, and give some internal characterizations of weak-open s-images of locally separable metric spaces.

scholarly journals Further results on images of metric spaces

2015 ◽  
Vol 98 (112) ◽  
pp. 179-191
Author(s):  
Van Dung
Keyword(s):  
Metric Space ◽  
Metric Spaces ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Weakly Continuous ◽  
Locally Separable Metric Spaces ◽  
Necessary And Sufficient ◽  
Separable Metric Space

We introduce the notion of an ls-?-Ponomarev-system to give necessary and sufficient conditions for f:(M,M0) ? X to be a strong wc-mapping (wc-mapping, wk-mapping) where M is a locally separable metric space. Then, we systematically get characterizations of weakly continuous strong wc-images (wc-images, wk-images) of locally separable metric spaces by means of certain networks. Also, we give counterexamples to sharpen some results on images of locally separable metric spaces in the literature.

scholarly journals On certain properties characterizing locally separable metric spaces

1967 ◽  
Vol 092 (2) ◽  
pp. 157-161
Author(s):  
Tibor Neubrunn ◽  
Jaroslav Smítal ◽  
Tibor Šalát
Keyword(s):  
Metric Spaces ◽  
Locally Separable Metric Spaces

scholarly journals On sequence-covering mssc-images of locally separable metric spaces

2010 ◽  
Vol 87 (101) ◽  
pp. 143-153
Author(s):  
Dung Van
Keyword(s):  
Metric Spaces ◽  
Locally Finite ◽  
Locally Separable Metric Spaces

We characterize sequence-covering (resp., 1-sequence-covering, 2-sequence-covering) mssc-images of locally separable metric spaces by means of ?-locally finite cs-networks (resp., sn-networks, so-networks) consisting of ?0-spaces (resp., sn-second countable spaces, so-second countable spaces). As the applications, we get characterizations of certain sequence-covering, quotient mssc-images of locally separable metric spaces.

scholarly journals L-Ponomarev system and images of locally separable metric spaces

2013 ◽  
Vol 93 (107) ◽  
pp. 133-144
Author(s):  
Tran An ◽  
Luong Tuyen
Keyword(s):  
Metric Spaces ◽  
Locally Separable Metric Spaces ◽  
System F

We introduce the notion of an L-Ponomarev system (f,M,X, P*n), and give characterizations of certain msss-images (resp., mssc-images) of locally separable metric spaces. As an application, we get a new characterization of quotient msss-images (mssc-images) of locally separable metric spaces, which is helpful in solving Velichko?s question (1987).

Images on locally separable metric spaces

1997 ◽  
Vol 13 (1) ◽  
pp. 1-8 ◽  
Author(s):  
Lin Shou ◽  
Liu Chuan ◽  
Dai Mumin
Keyword(s):  
Metric Spaces ◽  
Locally Separable Metric Spaces
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