scholarly journals On   -Homeomorphisms In Topological Spaces

2017 ◽  
Vol 1 (2) ◽  
pp. 56-71
Author(s):  
M. Gilbert Rani ◽  
S. Pious Missier
Keyword(s):  
Subject Classification ◽  
Topological Spaces ◽  
New Class

In this paper, we first introduce a new class of closed map called   -closed map. Moreover, we introduce a new class of homeomorphism called   - Homeomorphism, which are weaker than homeomorphism. We also introduce  - Homeomorphisms and prove that the set of all   - Homeomorphisms form a group under the operation of composition of maps.2000 Math Subject Classification: 54C08, 54D05.

scholarly journals Zα Open and Closed Mappings in Double Fuzzy Topological Spaces

2021 ◽  
Vol 2070 (1) ◽  
pp. 012022
Author(s):  
K Jayapandian ◽  
A Vadivel ◽  
O Uma Maheswari ◽  
J Sathiyaraj
Keyword(s):  
Subject Classification ◽  
Topological Spaces ◽  
New Class ◽  
Fundamental Properties ◽  
Open Map ◽  
Fuzzy Topological Spaces ◽  
Closed Mappings

Abstract We introduce and investigate some new class of mappings called double fuzzy Zα-open map and double fuzzy Zα-closed map in double fuzzy topological spaces. Also, some of their fundamental properties are studied. Moreover, we investigate the relationships between double fuzzy Z α-open and other existing mappings. AMS (2000) subject classification: 54A40.

ON A NEW CLASS OF SEMI GENERALIZED CLOSED SETS IN STRONG GENERALIZED TOPOLOGICAL SPACES

2020 ◽  
Vol 9 (11) ◽  
pp. 9353-9360
Author(s):  
G. Selvi ◽  
I. Rajasekaran
Keyword(s):  
Topological Spaces ◽  
Closed Set ◽  
Basic Properties ◽  
Closed Sets ◽  
New Class ◽  
Open Set ◽  
Continuous Maps

This paper deals with the concepts of semi generalized closed sets in strong generalized topological spaces such as $sg^{\star \star}_\mu$-closed set, $sg^{\star \star}_\mu$-open set, $g^{\star \star}_\mu$-closed set, $g^{\star \star}_\mu$-open set and studied some of its basic properties included with $sg^{\star \star}_\mu$-continuous maps, $sg^{\star \star}_\mu$-irresolute maps and $T_\frac{1}{2}$-space in strong generalized topological spaces.

On intuitionistic supra pre open sets

2020 ◽  
pp. 619-625
Author(s):  
L. Vidyarani ◽  
M. Jesintha
Keyword(s):  
Topological Spaces ◽  
Closed Sets ◽  
New Class

In this paper,a new class of sets called Intuitionistic Supra Pre open sets are defined in intuitionistic supra Topological spaces. Furthermore,the properties of Intuitionistic Supra Pre open sets and Intuitionistic Supra Pre closed sets are investigated in intuitionistic supra topological spaces.

scholarly journals A note on weakly θ-continuous functions

1989 ◽  
Vol 12 (1) ◽  
pp. 9-13 ◽  
Author(s):  
M. Mrševic ◽  
I. L. Reilly
Keyword(s):  
Continuous Function ◽  
Continuous Functions ◽  
Topological Spaces ◽  
New Class ◽  
Weakly Continuous ◽  
Class Of Functions

Recently a new class of functions between topological spaces, called weaklyθ-continuous functions, has been introduced and studied. In this paper we show how an appropriate change of topology on the domain of a weaklyθ-continuous function reduces it to a weakly continuous function. This paper examines some of the consequences of this result.

scholarly journals ON H˝-CLOSED SETS IN TOPOLOGICAL SPACES

2021 ◽  
Vol 9 (1) ◽  
pp. 1421-1424
Author(s):  
A. JOSE LITTLE FLOWER, M. RAJA KALAIVANAN
Keyword(s):  
Topological Spaces ◽  
Closed Sets ◽  
New Class

In this article, we introduce a new class of closed sets in topological spaces namely, H˝-closed and we prove every subset of the digital line is H˝-closed.

scholarly journals M – STAR – Irresolute Topological Vector Spaces

2021 ◽  
Vol 7 ◽  
pp. 20-36
Author(s):  
Raja Mohammad Latif
Keyword(s):  
Vector Space ◽  
Extreme Point ◽  
Topological Vector Space ◽  
Convex Subset ◽  
Hausdorff Space ◽  
Vector Spaces ◽  
Topological Spaces ◽  
Topological Vector Spaces ◽  
New Class

In 2016 A. Devika and A. Thilagavathi introduced a new class of sets called M*-open sets and investigated some properties of these sets in topological spaces. In this paper, we introduce and study a new class of spaces, namely M*-irresolute topological vector spaces via M*-open sets. We explore and investigate several properties and characterizations of this new notion of M*-irresolute topological vector space. We give several characterizations of M*-Hausdorff space. Moreover, we show that the extreme point of the convex subset of M*-irresolute topological vector space X lies on the boundary.

scholarly journals Supports of Borel measures

1979 ◽  
Vol 27 (2) ◽  
pp. 221-231 ◽  
Author(s):  
Susumu Okada
Keyword(s):  
Borel Measure ◽  
Topological Spaces ◽  
New Class ◽  
Borel Measures ◽  
Refinable Space

AbstractWe present a new class of topological spaces called SL-spaces, on which every Borel measure has a Lindelöf support. The class contains all metacompact spaces. However, a θ-refinable space is not necessarily an SL-space.

scholarly journals On weakly BR-open functions and their characterizations in topological spaces

2011 ◽  
Vol 44 (1) ◽  
Author(s):  
M. Caldas ◽  
E. Ekici ◽  
S. Jafari ◽  
R. M. Latif
Keyword(s):  
Topological Spaces ◽  
New Class ◽  
Class Of Functions

AbstractIn this paper, we introduce and study a new class of functions by using the notions of b-

A View on Fuzzy Minimal Open Sets and Fuzzy Maximal Open Sets

2015 ◽  
Vol 7 (1) ◽  
pp. 62-73 ◽  
Author(s):  
Hamid Reza Moradi
Keyword(s):  
Topological Space ◽  
Topological Spaces ◽  
Basic Properties ◽  
New Class ◽  
Properties And Characterization ◽  
Open Set ◽  
Fuzzy Topological Space ◽  
Fuzzy Topological Spaces ◽  
Characterization Theorems

A nonzero fuzzy open set () of a fuzzy topological space is said to be fuzzy minimal open (resp. fuzzy maximal open) set if any fuzzy open set which is contained (resp. contains) in is either or itself (resp. either or itself). In this note, a new class of sets called fuzzy minimal open sets and fuzzy maximal open sets in fuzzy topological spaces are introduced and studied which are subclasses of open sets. Some basic properties and characterization theorems are also to be investigated.

CONES OF CURVES AND OF LINE BUNDLES ON SURFACES ASSOCIATED WITH CURVES HAVING ONE PLACE AT INFINITY

2002 ◽  
Vol 84 (3) ◽  
pp. 559-580 ◽  
Author(s):  
ANTONIO CAMPILLO ◽  
OLIVIER PILTANT ◽  
ANA J. REGUERA-LÓPEZ
Keyword(s):  
Polyhedral Cone ◽  
Subject Classification ◽  
Factorization Theorem ◽  
Line Bundles ◽  
Unique Factorization ◽  
Primary 14C20 ◽  
New Class ◽  
Secondary 14E05 ◽  
Cone Of Curves ◽  
Projective Surfaces

Let V be a pencil of curves in ${\bf P}^2$ with one place at infinity, and $X \longrightarrow {\bf P}^2$ the minimal composition of point blow-ups eliminating its base locus. We study the cone of curves and the cones of numerically effective and globally generated line bundles on X. It is proved that all of these cones are regular. In particular, this result provides a new class of rational projective surfaces with a rational polyhedral cone of curves. The surfaces in this class have non-numerically effective anticanonical sheaf if the pencil is neither rational nor elliptic. An application is a global version on X of Zariski's unique factorization theorem for complete ideals. We also define invariants of the semigroup of globally generated line bundles on X depending only on the topology of V at infinity.2000 Mathematical Subject Classification: primary 14C20; secondary 14E05.

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