scholarly journals Concerning completable Moore spaces

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

Joint continuity of K h C-functions with values in moore spaces

2008 ◽  
Vol 60 (11) ◽  
pp. 1803-1812 ◽  
Author(s):  
V. K. Maslyuchenko ◽  
V. V. Mykhailyuk ◽  
O. I. Filipchuk
Keyword(s):  
Joint Continuity ◽  
Moore Spaces

III. The Space of Maps of Moore Spaces Into Spheres

1988 ◽  
pp. 72-100 ◽  
Author(s):  
H. E. A. Campbell ◽  
F. R. Cohen ◽  
F. P. Peterson ◽  
P. S. Selick
Keyword(s):  
Moore Spaces

Concerning Metrizability of Pointwise Paracompact Moore Spaces

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

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).

Paracompactness in Locally Lindelöf Spaces

1986 ◽  
Vol 38 (3) ◽  
pp. 719-727 ◽  
Author(s):  
Zoltán Balogh
Keyword(s):  
Present Stage ◽  
Collectionwise Hausdorff ◽  
Refinable Space ◽  
Moore Spaces ◽  
Connected Spaces

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.

scholarly journals Metrisation of Moore spaces and abstract topological manifolds

1997 ◽  
Vol 56 (3) ◽  
pp. 395-401 ◽  
Author(s):  
David L. Fearnley
Keyword(s):  
Recent Work ◽  
Topological Spaces ◽  
Sufficient Condition ◽  
Necessary And Sufficient Condition ◽  
Moore Space ◽  
Global Coherence ◽  
Topological Manifolds ◽  
Necessary And Sufficient ◽  
Moore Spaces ◽  
Significant Class

The problem of metrising abstract topological spaces constitutes one of the major themes of topology. Since, for each new significant class of topological spaces this question arises, the problem is always current. One of the famous metrisation problems is the Normal Moore Space Conjecture. It is known from relatively recent work that one must add special conditions in order to be able to get affirmative results for this problem. In this paper we establish such special conditions. Since these conditions are characterised by local simplicity and global coherence they are referred to in this paper generically as “abstract topological manifolds.” In particular we establish a generalisation of a classical development of Bing, giving a proof which is complete in itself, not depending on the result or arguments of Bing. In addition we show that the spaces recently developed by Collins designated as “W satisfying open G(N)” are metrisable if they are locally separable and locally connected and regular. Finally, we establish a new necessary and sufficient condition for spaces to be metrisable.

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