On Semicontinuity Points

Natkaniec,

doi:10.2307/44153529

Cited by 10 publications

(12 citation statements)

References 0 publications

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“…Lemma 2.1.8 is new, although the set exhibited there, in a similar setting, was used earlier by Natkaniec [48]. Other results from Section 2.1 can be found in Wilczyński's survey paper [68] in the case of J = I, although Lemma 2.1.4 was proved there only in the case when lim sup n→∞ b n+1 /a n = 0.…”

Section: Historical and Bibliographic Notesmentioning

confidence: 85%

ℐ-density continuous functions

Ciesielski¹,

Larson²,

Ostaszewski³

1994

Memoirs of the AMS

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The I-density topology is a generalization of the ordinary density topology to the setting of category instead of measure. This work involves functions which are continuous when combinations of the I-density, deep-I-density, density and ordinary topology are used on the domain and range. In the process of examining these functions, the I-density and deep-I-density topologies are deeply explored and the properties of these function classes as semigroups are considered.

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Section: Historical and Bibliographic Notesmentioning

confidence: 85%

ℐ-density continuous functions

Ciesielski¹,

Larson²,

Ostaszewski³

1994

Memoirs of the AMS

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“…Hayashi [6], Hashimoto [7], Newcomb [8], Modak [9,10], Bandyopadhyay and Modak [11,12], Noiri and Modak [13], Al-Omari et al [14,15,16,17] have enriched this study. Natkaniec in [18] have introduced the complement of local function and it is called  -Operator. In an ideal topological space ( [19,20] have introduced two moreoperators in the ideal topological spaces and they are:…”

Section: ] Andmentioning

confidence: 99%

New Operators in Ideal Topological Spaces and Their Closure Spaces

Modak

Islam

2019

Aksaray University Journal of Science and Engineering

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“…In [14], A* is called the focal function o f A with respect to I and r. Recall In [17], Natkaniec defines an operator Y): Tt, when ( X , t, I ) is a space, as follows: for everyA C X , w(A) = { x : there exists a U E N ( x ) such that U \ p €I}.…”

Section: To)-mentioning

confidence: 99%

“…The topic of an ideal in topological spaces was treated a lot by general topologists in recent years [l], [2], [6], [7], [8], [9], [ l l ] , [12], [17], [24], [25]. Many different and interesting properties were proved.…”

Section: Introductionmentioning

confidence: 99%