Cellular approximations using Moore spaces

Author(s):  
José L. Rodríguez ◽  
Jérôme Scherer
Keyword(s):  
2008 ◽  
Vol 60 (11) ◽  
pp. 1803-1812 ◽  
Author(s):  
V. K. Maslyuchenko ◽  
V. V. Mykhailyuk ◽  
O. I. Filipchuk

1972 ◽  
Vol 36 (2) ◽  
pp. 591-591 ◽  
Author(s):  
G. M. Reed
Keyword(s):  

Author(s):  
H. E. A. Campbell ◽  
F. R. Cohen ◽  
F. P. Peterson ◽  
P. S. Selick
Keyword(s):  

1964 ◽  
Vol 16 ◽  
pp. 407-411 ◽  
Author(s):  
D. R. Traylor
Keyword(s):  

Although it is known that there exists a pointwise paracompact Moore space which is not metrizable (1), very little seems to be known about the metrizability of pointwise paracompact Moore spaces. This paper is devoted to determining some of the conditions under which a pointwise paracompact Moore space is metrizable.The statement that 5 is a Moore space means that there exists a sequence of collections of regions in 5 satisfying Axiom 0 and the first three parts of Axiom 1 of (2). A Moore space is complete if and only if it satisfies all of Axiom 1 of (2).


1986 ◽  
Vol 38 (3) ◽  
pp. 719-727 ◽  
Author(s):  
Zoltán Balogh

This paper contains a set of results concerning paracompactness of locally nice spaces which can be proved by (variations on) the technique of “stationary sets and chaining” combined with other techniques available at the present stage of knowledge in the field. The material covered by the paper is arranged in three sections, each containing, in essence, one main result.The main result of Section 1 says that a locally Lindelöf, submeta-Lindelöf ( = δθ-refinable) space is paracompact if and only if it is strongly collectionwise Hausdorff. Two consequences of this theorem, respectively, answer a question raised by Tall [7], and strengthen a result of Watson [9]. In the last two sections, connected spaces are dealt with. The main result of the second section can be best understood from one of its consequences which says that under 2ωl > 2ω, connected, locally Lindelöf, normal Moore spaces are metrizable.


1973 ◽  
Vol 40 (4) ◽  
pp. 959-959 ◽  
Author(s):  
Peter Fletcher ◽  
William F. Lindgren
Keyword(s):  

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