Ricardo Cruz-Castillo , Alejandro Ramírez-Páramo , Jesús F. Tenorio
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引用次数: 0
摘要
我们介绍了H-star-Lindelöf、弱H-star-Lindelöf和近H-star-Lindelöf选择原则，并提供了一些命题以及与文献中其他已知性质的关系。此外，在本文中，我们通过使用新性质 SSΠΔ(Λ),fin⋆(CΔ(Λ),B)，针对族 B 的相应选择，描述了具有命中与遗漏拓扑学 τΔ 的超空间中的上述选择原则。
We introduce the selection principles H-star-Lindelöf, weakly H-star-Lindelöf and almost H-star-Lindelöf and we provide some propositions and relationships with other known properties in literature. Furthermore, in this paper we characterize the above selection principles in hyperspaces endowed with the hit-and-miss topology , by using a new property , for the corresponding choose of the family .
期刊介绍：
Topology and its Applications is primarily concerned with publishing original research papers of moderate length. However, a limited number of carefully selected survey or expository papers are also included. The mathematical focus of the journal is that suggested by the title: Research in Topology. It is felt that it is inadvisable to attempt a definitive description of topology as understood for this journal. Certainly the subject includes the algebraic, general, geometric, and set-theoretic facets of topology as well as areas of interactions between topology and other mathematical disciplines, e.g. topological algebra, topological dynamics, functional analysis, category theory. Since the roles of various aspects of topology continue to change, the non-specific delineation of topics serves to reflect the current state of research in topology.
At regular intervals, the journal publishes a section entitled Open Problems in Topology, edited by J. van Mill and G.M. Reed. This is a status report on the 1100 problems listed in the book of the same name published by North-Holland in 1990, edited by van Mill and Reed.
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