Results 11 to 20 of about 362 (47)
On unified theory for continuities
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 5, Page 291-301, 2002., 2002 The purpose of this study is to give a unified theory for some weak and strong continuous functions using operations.
Mahide Küçük, Yalçin Küçük
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Semi‐precontinuous functions and properties of generalized semi‐preclosed sets in topological spaces
International Journal of Mathematics and Mathematical Sciences, Volume 29, Issue 2, Page 85-98, 2002., 2002 Andrijević (1986) introduced the class of semi‐preopen sets in topological spaces. Since then many authors including Andrijević have studied this class of sets by defining their neighborhoods, separation axioms and functions. The purpose of this paper is to provide the new characterizations of semi‐preopen and semi‐preclosed sets by defining the ...
G. B. Navalagi
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International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 10, Page 613-620, 2002., 2002 The concept of a terminal continuum introduced in 1973 by G. R. Gordh Jr., for hereditarily unicoherent continua is extended to arbitrary continua. Mapping properties of these two concepts are investigated. Especially the invariance of terminality under mappings satisfying some special conditions is studied.
Janusz J. Charatonik
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On a weak form of weak quasi‐continuity
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 6, Page 381-386, 2002., 2002 A weak form of weak quasi‐continuity, which we call subweak quasi‐continuity, is introduced. It is shown that subweak quasi‐continuity is strictly weaker than weak quasi‐continuity. Subweak quasi‐continuity is used to strengthen several results in the literature concerning weak quasi‐continuity.
C. W. Baker
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Spaces whose only finite‐sheeted covers are themselves. Part I
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 2, Page 81-92, 2002., 2002 This is a survey of results and open questions related to the topology of spaces that have no nontrivial finite‐sheeted covers.
Mathew Timm
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A note on θ‐generalized closed sets
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 8, Page 559-563, 2001., 2001 The purpose of this note is to strengthen several results in the literature concerning the preservation of θ‐generalized closed sets. Also conditions are established under which images and inverse images of arbitrary sets are θ‐generalized closed. In this process several new weak forms of continuous functions and closed functions are developed.
C. W. Baker
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Weak and strong forms of irresolute maps
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 4, Page 253-259, 2000., 2000 We consider new weak and stronger forms of irresolute and semi‐closure via the concept sg‐closed sets which we call ap‐irresolute maps, ap‐semi‐closed maps and contra‐irresolute and use it to obtain a characterization of semi‐T1/2 spaces.
Miguel Caldas Cueva
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On almost precontinuous functions
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 3, Page 193-201, 2000., 2000 Nasef and Noiri (1997) introduced and investigated the class of almost precontinuous functions. In this paper, we further investigate some properties of these functions.
Saeid Jafari, Takashi Noiri
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A unified theory for weak separation properties
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 11, Page 765-772, 2000., 2000 We devise a framework which leads to the formulation of a unified theory of normality (regularity), semi‐normality (semi‐regularity), s‐normality (s‐regularity), feebly‐normality (feebly‐regularity), pre‐normality (pre‐regularity), and others. Certain aspects of theory are given by unified proof.
Mahide Küçük, İdris Zorlutuna
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International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 2, Page 239-249, 1999., 1999 The aim of this paper is to study the class of θ‐generalized closed sets, which is properly placed between the classes of generalized closed and θ‐closed sets. Furthermore, generalized Λ‐sets [16] are extended to θ‐generalized Λ‐sets and R0‐, T1/2‐ and T1‐spaces are characterized.
Julian Dontchev, Haruo Maki
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