Geodesic
The almost I-Hurewicz covering property
Filomat, Tome 35 (2021) no. 14, p. 4777

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DOI

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 of N. 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 Iγ-set and the almost star-I-Hurewicz property (ASIH) and it is shown that the image of almost Iγ-set under θ-continuous mapping has the AIH property
DOI : 10.2298/FIL2114777S
Classification : 54D20, 54B20, 54C10
Keywords: Hurewicz, almost Hurewicz, I-Hurewicz, almost I-Hurewicz, Ideal, Covering, Star-Covering, topological space 
Sumit Singh; Brij K Tyagi; Manoj Bhardwaj. The almost I-Hurewicz covering property. Filomat, Tome 35 (2021) no. 14, p. 4777 . doi: 10.2298/FIL2114777S
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     author = {Sumit Singh and Brij K Tyagi and Manoj Bhardwaj},
     title = {The almost {I-Hurewicz} covering property},
     journal = {Filomat},
     pages = {4777 },
     year = {2021},
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     number = {14},
     doi = {10.2298/FIL2114777S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2114777S/}
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