Sign in
Author

Conference

Journal

Organization

Year

DOI
Look for results that meet for the following criteria:
since
equal to
before
between
and
Search in all fields of study
Limit my searches in the following fields of study
Agriculture Science
Arts & Humanities
Biology
Chemistry
Computer Science
Economics & Business
Engineering
Environmental Sciences
Geosciences
Material Science
Mathematics
Medicine
Physics
Social Science
Multidisciplinary
Keywords
(1)
Topological Space
Related Publications
(8)
On some classes of nearly open sets
Generalized closed sets in topology
Idealization of GansterReilly decomposition theorems
On precontinuous and weak precontinuous mappings
Hclosed topological spaces
Subscribe
Academic
Publications
Semiopen Sets and SemiContinuity in Topological Spaces
Semiopen Sets and SemiContinuity in Topological Spaces,N. Levine
Edit
Semiopen Sets and SemiContinuity in Topological Spaces
(
Citations: 249
)
BibTex

RIS

RefWorks
Download
N. Levine
Published in 1963.
Cumulative
Annual
Citation Context
(127)
...semiopen [
14
], bopen [2], αopen [17], βopen [1]) set if A int cl A (resp...
Erdal Ekici
,
et al.
New generalized topologies on generalized topological spaces due to Cs...
...A subset A of X is said to be semiopen [
32
] (resp...
...Definition 2.5. A function f :( X, τ) → (Y, σ )i s said to besemicontinuous [
32
] (resp...
Takashi Noiri
,
et al.
A unified theory of weak contracontinuity
...A subset A of a topological space (X, τ) is called preopen [24] (resp., semiopen [
18
], δpreopen [32], δsemiopen [28], αopen [27], βopen [1], bopen [4]) if A int cl (A) (resp., A cl int (A) , A int (clδ A), A cl (intδ A), A int (cl int (A) ), A cl int (cl A) , A cl int (A) ∪ int cl (A) ). A point x ∈ X is called a semiθcluster point [22 ]o f as etA if scl U ∩ A � ∅ ,f or each semiopen set U containing x. The set of all semiθcluster ...
T. Noiri
,
et al.
Unification of generalized open sets on topological spaces
...Continuity points of quasicontinuous mappings were studied in many papers; see for example Bledsoe [5], Hol´ a, Piotrowski [21], Kenderov, Kortezov, Moors [26], Levine [
27
], see also a survey paper of Neubrunn [34]...
Dušan Holý
,
et al.
Quasicontinuous functions, minimal usco maps and topology of pointwise...
...Definition 2.1. A subset A of a topological space (X, τ )i s said to be (1) semiopen [
17
] if A ⊂ Cl Int (A) , (2) preopen [20] if A ⊂ Int Cl (A) , (3) αopen [25] if A ⊂ Int (Cl Int (A) ), (4) bopen [5] if A ⊂ Cl Int (A) ∪ Int Cl (A) , (5) βopen [1] or semipreopen [4] if A ⊂ Cl (Int Cl (A) )...
...semicontinuous [
17
], precontinuous [20], αcontinuous [21], bcontinuous [5] or γcontinuous [11], βcontinuous [1] or semiprecontinuous [4])...
T. Noiri
,
et al.
On decompositions of continuity in topological spaces
Sort by:
Citations
(249)
Convex subdifferential sum rule via convex semiclosed functions with applications in convex programming
Mohsen Alimohammady
,
Yeol Je Cho
,
Vahid Dadashi
,
Mehdi Roohi
Journal:
Applied Mathematics Letters
, vol. 24, no. 8, pp. 12891294, 2011
New generalized topologies on generalized topological spaces due to Császár
Erdal Ekici
,
Bishwambhar Roy
Journal:
Acta Mathematica Hungarica  ACTA MATH HUNG
, vol. 132, no. 1, pp. 117124, 2011
A unified theory of weak contracontinuity
Takashi Noiri
,
Valeriu Popa
Journal:
Acta Mathematica Hungarica  ACTA MATH HUNG
, vol. 132, no. 1, pp. 6377, 2011
Unification of generalized open sets on topological spaces
T. Noiri
,
B. Roy
Journal:
Acta Mathematica Hungarica  ACTA MATH HUNG
, vol. 130, no. 4, pp. 349357, 2011
Intraabdominal Migrating of Intrauterine Contraceptive Device
H. T. Nguyen
Journal:
Ultrasound in Medicine and Biology  ULTRASOUND MED BIOL
, vol. 37, no. 8, pp. S95S95, 2011