About Compact and Sequentially Compact Coincide in Topological Groups with the Axiom (A1) 拓扑空间拓扑群列紧性有限子集This paper is concerned with the relation between the compactness and sequential compactness in a topological space or a topological group, and show that the compactness and sequential...
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In Section 3, we introduce the notions of p-compact and sequentially p-compact operator between LNSs. These operators generalize several known classes of operators such as compact, weakly compact, order weakly compact, and AM-compact operators; see Example 3. Also the relation between sequentially...
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It is known that a compact space can fail to be sequentially compact. In this paper we consider the following problem: when does a space admit a sequentially compact T 2 compactification? In the first section we develop a method to produce such compactifications, and we apply it in the sec...
Using(Q_x,T_x),we have proved that if(X,τ)sufficessome conditions(we know normed space suffices these conditions),then, for E X,we have:Eis a relatively weakly compact set E is a relatively weakly sequentially compact set E is arelatively weakly countable compact set.As an example,we...
网络释义 1. 列紧集 数学... ... sequential word function 序贯字函数sequentially compact set列紧集sequentially complete space 序列完备空间 ... www.zftrans.com|基于15个网页
However, it still miscarries to produce pinhole-free layers from solution, mainly due to the occurrence of dissolution and recrystallisation processes. We show that by a careful choice of the permittivity of the alcoholic solvent in the conversion step the surface morphology can be finely modified,...
Countably compact spaces with a point-countable k-network are not necessarily metrizable. Is every sequentially compact space with a point-countable k-network metrizable? This paper gives an affirmative answer to the question.doi:10.1016/j.topol.2015.06.012Cai, Zhangyong...
sequentially compact sequential topologies is sequential of order not greater than the supremum of the sequential orders of the topologies of the sequence +1; if moreover the topologies are α 3 , then the order is equal to that ...