On ϕ-Extensions of Developable Spaces

1993 ◽  
Vol 119 (1) ◽  
pp. 331
Author(s):  
T. Mizokami
Keyword(s):  
Developable Spaces

On strongly g-developable spaces

2010 ◽  
Vol 31 (1) ◽  
pp. 60-64
Author(s):  
Xun Ge ◽  
Zhaowen Li
Keyword(s):  
Developable Spaces

scholarly journals Local connectedness in developable spaces

1975 ◽  
Vol 61 (1) ◽  
pp. 219-224 ◽  
Author(s):  
Harold W. Martin
Keyword(s):  
Local Connectedness ◽  
Developable Spaces

Separating Closed Sets by Continuous Mappings into Developable Spaces

1981 ◽  
Vol 33 (6) ◽  
pp. 1420-1431 ◽  
Author(s):  
Harald Brandenburg
Keyword(s):  
Topological Space ◽  
Double Sequence ◽  
Completely Regular ◽  
Closed Sets ◽  
Continuous Mappings ◽  
Neighbourhood Base ◽  
Image Position ◽  
Metrizable Spaces ◽  
Metrization Theorem ◽  
Developable Spaces

A topological space X is called developable if it has a development, i.e., a sequence of open covers of X such that for each x ∈ X the collection is a neighbourhood base of x, whereThis class of spaces has turned out to be one of the most natural and useful generalizations of metrizable spaces [23]. In [4] it was shown that some well known results in metrization theory have counterparts in the theory of developable spaces (i.e., Urysohn's metrization theorem, the Nagata-Smirnov theorem, and Nagata's “double sequence theorem”). Moreover, in [3] it was pointed out that subspaces of products of developable spaces (i.e., D-completely regular spaces) can be characterized in much the same way as subspaces of products of metrizable spaces (i.e., completely regular T1-spaces).

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