In this paper we follow the line of recent works of Das and his co-authors where certain results on open covers and selection principles were studied by using the notion of ideals and ideal convergence, which automatically extend similar classical results (where finite sets are used). Here we further intro duce the notions of I -Sequence Selection Property (I-SSP), I - Monotonic Sequence Selection Property (I-MSSP) of C p (X) which extend the notions of Sequence Selection Property and Monotonic Sequence Selection Property of C p (X) respectively. We then make certain observations on these new types of SSP in terms of I-γ-covers.
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机译:在本文中,我们遵循Das和他的合著者的最新著作,在这些著作中,通过使用理想和理想收敛的概念研究了关于开放封面和选择原则的某些结果,这些结果自动扩展了相似的经典结果(其中使用了有限集) )。在这里,我们进一步介绍C p(X)的I-序列选择属性(I-SSP),I-单调序列选择属性(I-MSSP)的概念,这些概念扩展了C p(X)的序列选择属性和单调序列选择属性的概念。 C p(X)。然后,我们根据I-γ覆盖对这些新型SSP进行某些观察。
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