Open AccessThe almost I-Hurewicz covering property
Author(s) -
Sumit Singh,
B. K. Tyagi,
Manoj Bhardwaj
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2114777s
Subject(s) - mathematics , property (philosophy) , generalization , ideal (ethics) , set (abstract data type) , space (punctuation) , pure mathematics , discrete mathematics , mathematical analysis , computer science , law , philosophy , epistemology , political science , programming language , operating system
In this paper, we introduce the almost I-Hurewicz (AIH) property which is a simultaneous generalization of the I-Hurewicz (IH) (see [1, 5]) and the almost Hurewicz [23] properties. It is shown that the AIH property independent to the weakly I-Hurewicz (WIH) [6] property, where I is the proper admissible ideal ofN. It is shown that in a regular space, the AIH property implies the IH property hence the WIH property, but not in Urysohn space. In a similar way, we consider almost I?-set and the almost star-I-Hurewicz property (ASIH) and it is shown that the image of almost I?-set under ?-continuous mapping has the AIH property.