Miguel Caldas Cueva » 1996-2000

045. On g -$\alpha$-compact

caldas — Wed, 17 Feb 2010 22:56:34 +0000

Math. Journal: Pro-Math.,Peru. 14 (2000), 91-98.
Authors: Caldas, M. and Saraf, R.K.

Abstract
The purpouse of this paper is to introduce and discuss the concept of g $\alpha$-compactness for topological spaces. An example is consider toshow that it is strictly stronger than that of compactness.

044. Characterizations of spaces and maps via fuzzy betha-open sets

caldas — Wed, 17 Feb 2010 22:55:35 +0000

Math. Journal: Math. Forum, India. 13 (2000), 22-30.
Authors: Caldas M., and Saraf, R.K.

043. Fsg-closed maps and gs-closed maps

caldas — Wed, 17 Feb 2010 22:55:05 +0000

Math. Journal: Journal of Tripura Mathematical Society, India. 2 (2000), 69-76
Authors: Caldas, M., Saraf, R.K. and Khanna, M.

Abstract
In 1998, H. Maki and others introduced the concepts of fzzy semi-generalized closed sets and fuzzy generalized semi-closed sets. In this paper, authors introduced the concepts of Fsg-closed maps and Fgs-closed mapsand studied their basic properties.

042. Characterizations of Pre R0 and PreR1

caldas — Wed, 17 Feb 2010 22:54:24 +0000

Math. Journal: Topology Proceedings, USA. 25(2000), 17-30 .
Authors: Caldas M., Noiri, T., and Jafari, S.

041. On sober regular

caldas — Wed, 17 Feb 2010 22:54:01 +0000

Math. Journal: J. Inst. Math. Comput. Sci., Math. Ser Calcutta. India. 13 (2000), 297-302.
Authors: Caldas, M., and Jafari, S.

Abstract
The object of this paper is to investigate a new type of regularity on topological spaces called sober regularity.

040. Contra pre semi- open maps

caldas — Wed, 17 Feb 2010 22:53:11 +0000

Math. Journal: Kyungpook Math. Journal, Republic of Korea. 40 (2000), 379-389.
Authors: Caldas, M., and Baker, C.

Abstract
In this paper we consider a new generalization of an open map, which is called contra pre semi-open and continue the study of contra pre semi-closed maps i.e., the maps whose images of semi-closed sets are semi-open sets. This definitions enables us to obtain conditions under which inverse image of every subset from codomain is sg-closed. At the end of the note a discussion concerning the semi-closed graph Theorem for contra pre semi-open maps is also presented.

039. A research on characterizations of semi-T_1/2 spaces

caldas — Wed, 17 Feb 2010 22:52:06 +0000

Math. Journal: Divulgaciones Matemáticas, Venezuela. 8 (2000), 43-50.
Authors: Caldas M., and Saraf, R.K.

Abstract
The goal of this article is to bring your attention some of the salient features of recent research on characterizations of Semi-T_1/2 spaces.

Resumen
El objetivo de éste trabajo es presentar caracterizaciones importantes e recientes de um nuevo axioma de separación en espacios Semi-T_1/2.

For a preprint of the paper go to: http://www.math.luz.ve/div_mat

038. Fuzzy s-closed subspaces

caldas — Wed, 17 Feb 2010 22:49:27 +0000

Math. Journal: Ultra Science of Phys. Sci., India. ISSN 0970-9150. 12 (2000), 229-233.
Authors: Caldas M., Saraf, R.K. and Mishra, S.

Abstract
In this paper, we initiate the study of s-closed subspaces in fuzzy topological spaces. We also investigate some properties of fuzzy sets s-closed relative to a fuzzy topological space.

037. $\Lambda_s$-closure operator and the associeted topology $\tau^{\Lambda_s}$

caldas — Wed, 17 Feb 2010 22:48:45 +0000

Math. Journal: Annals of the II International Seminar of Applied Math. Lima, Peru. Universidad Ricardo Palma. (2000).
Authors: Caldas M. and Dontchev, J.

Abstract
In this paper we define the concepts of $\Lambda_s$-closure operator and the associated topology $\tau^{\Lambda_s}$ on a topological space (X,$\tau$) in terms g.$\Lambda_s$-sets.

036. On maps and generalized $\Lambda_s$-sets

caldas — Wed, 17 Feb 2010 22:48:02 +0000

Math. Journal: East West Journal Of Mathematics., Thailand, 2 (2000), 181-190.
Authors: Caldas M.

Abstract
In this paper we define the concepts of g.$\Lambda_s$-continuous maps, g.$\Lambda_s$-irresolute maps and g.V_s closed maps by using generalized $\Lambda_s$-sets and generalized V_s sets. Also we introduce a new class of topologicalspaces called $T^{V_s}-spaces.

035. G.$\Lambda_s$-sets and G.$V_s$-sets

caldas — Wed, 17 Feb 2010 22:47:19 +0000

Math. Journal: Mem. Fac. Sci. Kochi Univ. (Math), Japan, ISSN 0389-0252 , 21 (2000) , 21-30.
Authors: Caldas, M., and Dontchev, J.

Abstract
In this paper we define the concepts of g.$\Lambda_s$-sets and g.$V_s$-sets and we use them in order to obtain new characterizations of semi-T_1, semi-R_0 and semi-T_1/2.

034. A remark on polynomially countably barrelled spaces

caldas — Wed, 17 Feb 2010 22:45:28 +0000

Math. Journal: Bull. Calcutta Math. Soc. India. ISSN 0008-0659. 92 (2000), 21-24.
Authors: Caldas M.

Abstract
The aim of this paper is to prove a version polinomially of a classic theorem about countably barrelled spaces.

033. Weak and Strong forms of Irresolute Maps

caldas — Wed, 17 Feb 2010 22:44:11 +0000

Math. Journal: Internat.J. Math. & Math. Sci. USA. 23 (2000) 253-259
Authors: Caldas, M.

Abstract
In this paper 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 we use it to obtain a characterization of semi-T 1/2 spaces.

032. A necessary and sufficient condition for a space to be infrabarrelled…

caldas — Wed, 17 Feb 2010 22:43:34 +0000

Full Title: A necessary and sufficient condition for a space to be infrabarrelled or polynomially infrabarrelled
Math. Journal: Glasnick Matematicki , Croatia, 34 (1999), 263-265.
Authors: Caldas, M. and Pombo, D.

Abstract
A locally convex space E is polynomially barrelled (resp. polynomially infrabarrelled) if and only if, for every Banach space F (resp. for every positive integer m and for every Banach space F), the space of all continuous linear mappings from E into F (resp. the space of all continuous m-homogeneous polynomials from E into F) is quasi-complete for the topology of bounded convergence.

031. A survey on semi-T_1/2 spaces

caldas — Wed, 17 Feb 2010 22:42:51 +0000

Math. Journal: Pesquimat, Peru. 1 (1999) , 33-40
Authors: Caldas M., and Saraf, R.K.

Abstract
The goal of this survey article is to bring to your attention some of the saçient features of recent research on characterizations of Semi-$T_{1/2}$ spaces.