A decomposition of continuity

Hatir, E.; Noiri, Takashi; Y�ksel, S.

doi:10.1007/bf00113919

Cited by 29 publications

(32 citation statements)

References 9 publications

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“…Moreover, we prove that some of the results established in [3] are already established results in topological spaces [10]. Some generalizations of these results are also given.…”

Section: Introductionsupporting

confidence: 62%

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C- sets and decomposition of continuity in generalized topological spaces

Jamunarani¹,

Jeyanthi²,

Velrajan³

2013

B Soc Paran Mat

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“…Moreover, we prove that some of the results established in [3] are already established results in topological spaces [10]. Some generalizations of these results are also given.…”

Section: Introductionsupporting

confidence: 62%

“…✷ By Remark 3.10(b), (a) of the following Theorem 3.13 is nothing but Proposition 3.2(a) of [10] and (b) is nothing but Proposition 3.4 of [10]. Moreover, this results hold for any generalized topological space as stated in Theorem 3.14 without proof.…”

Section: Proof: (A)⇒(b)mentioning

confidence: 74%

C- sets and decomposition of continuity in generalized topological spaces

Jamunarani¹,

Jeyanthi²,

Velrajan³

2013

B Soc Paran Mat

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“…I-extremally disconnectedness on subspaces I-open) sets of (X; ; I) we will use AIO(X; ) ( resp. IO(X; ), s I(X; ), asI(X; )) follow to [1], [2] and [8].…”

Section: De…nition 14mentioning

confidence: 99%

On /-Extremally Disconnected Spaces

Keskin¹,

Yüksel²,

Noiri³

1999

Communications, Faculty of Science, University of Ankara Series A1Mathematics and Statistics

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C o m m u n .Fa c .S c i.U n iv .A n k .S e rie s A 1 Vo lu m e 5 6 , N u m b e r 1 , P a g e s 3 3 -4 0 (2 0 0 7 ) IS S N 1 3 0 3 -5 9 9 1 ON I-EXTREMALLY DISCONNECTED SPACES AYNUR KESKIN , SAZIYE YUKSEL AND TAKASHI NOIRI Abstract. We have introduced and investigated the notion of I-extremal disconnectedness on ideal topological spaces. First, we found that the notions of extremal disconnectedness and I-extremal disconnectedness are independent of each other. About the letter one, we observed that every open subset of an I-extremally disconnected space is also an I-extremally disconnected space. And also, in extremally disconnectedness spaces we have shown that I-open set is equivalent almost I-open and every -I-open set is preopen. Finally, we have shown that -I-continuity( resp. pre-I-continuity, I-continuity ) is equivalent to semi-I-continuity( resp. strongly -I-continuity, almost strongly I-continuity ) if the domain is I-exteremally disconnected.

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“…In the literature, several such classes are available which include amongst others semi-open sets [10], α-open sets [12], β-open sets [1], pre-open sets [11], etc. Some other such classes are A-sets [15], B-sets [16], C-sets [7], etc. Since these classes have some features common in them, it is quite natural to enquire if these classes can be obtained by using one common definition?…”

Section: Introductionmentioning

confidence: 99%