Abstract
D-K-Mackey locally K-convex spaces are introduced and a description of their topologies is obtained.

Abstract
The purpose of this paper is to introduce and study the conceprs of two new class of maps, namely sg-continuous maps, which includes the class of continuous maps; and the class of sg-irresolute maps defined analogous irresolute maps. Moreover we introduce the concepts of sg-compactness and sg-connectedness of topological spaces.

Abstracto
En este trabajo investigamos el axioma de separación en espacios semi T 1/2 y estudiamos algunas de sus propiedades básicas. Además de esto, analizamos las relaciones entre este axioma de separación con los bien conocidos axiomas para los espacios semi T 2 , semi T 1 y semi T 0.

Abstract
In this paper we investigate, the separation axiom semi T 1/2 and we study some of their basic properties. Apart we also investigate the implication of this separation axiom with the well known axioms semi T 2, semi T 1 and semi T 0.

Abstract
The main goal of this article is to introduce and study the non-Archimedean versions of the c-sequential and s-bornological spaces. The new classes are located in the context of the locally K-convex classes already known.

Abstract
The purpose of this article is to develop a non-archimedean version of sigma barrelled locally convex spaces, analogous to the classical linear theory of locally convex spaces, analogous to the classical linear theory of locally convex spaces over C or R . Their relation with other non-archimedean significant classes of locally convex spaces are established and separating examples are given.

Abstract
The purpose of this article is to present some recent developments about polynomial conditions of denumerable type barrelledness between non-archimedean locally convex spaces over a non-trivially valued field of characteristic zero.

Abstract
In this paper we introduce two new classes of spaces, the sigma-K-barrelled and sigma-K-infrabarrelled spaces. We localise these new classes in the context of the known classes.

Abstract
The concept of generalized closed set of a topological space (breifly g-closed) was introduced by N. Levine ([8] in 1970). These sets where also considered by W. Dunhan ([5] in 1982) and by W. Dunhan and N. Levine ([4] in 1980). Recently, K. Balachandran, P. Sundara and H. Maki ([1] in 1991) , defined a new class of mappings called generalized continuous mappings. The present note has as purpose generalize and improve Theorem 6.3 of N. Levine [8] and to investigate some properties of g-closed sets and g-continuous mappings.

Abstract
In the linear theory of a locally convex space, it is known that every (DF)-locally convex space is d-infrabarrelled.The purpose of this paper is to prove the corresponding result in the non-Archimedean polynomial context and a note on polynomially d-k-barrelled locally k-convex spaces.

Abstract
The purpose of this article is to prove a characterization of holomorphically sigma infinite-barrelled spaces, through a holomorphic version of the closed graph theorem.

Abstract
The aim of thispaper is the study of an extension of the different generalizations of barrelled and infrabarrelled spaces, to the non-Archimedean case. We discuss the permanence properties of these spaces, with special emphasis on the problem of subspaces.

Abstrato
O Teorema de Mahowald do gráfico fechado determina as características mí­nimas que deve ter um espaço E, localmente convexo Hausdorff, para que uma aplicação linear f de E em F , onde F é um espaço Banach, com gráfico fechado seja continua. Em 1961 Mahowald mostra que E deve ser necessariamente tonelado. Por outro lado a noção de espaço tonelado tem sido estendido introduzindo-se os espaços d-tonelados.O objetivo principal deste trabalho é apresentar uma generalização do teorema de Mahowald no contexto não-arquimediano para espaços d-tonelados.