We study which topology have an immediate predecessor in the poset of Sigma(2) of Hausdorff topologies on set X. We show that certain classes of H-closed topologies, do have predecessors. and we give examples of second ...

Neste trabalho estudamos os espaços vetoriais topológicos e suas propriedades. Para isso utilizamos como referências principais [1] e [2]. A primeira mais voltada ao estudo da Topologia Geral e a segunda ao estudo dos ...

In this paper, we show that the Wijsman hyperspace of a metric hereditarily Baire space is Baire. This solves a recent question posed by Zsilinszky. (C) 2009 Elsevier B.V. All rights reserved.

This is a sequel of the work done on (strongly) monotonically monolithic spaces and their generalizations. We introduce the notion of monotonically kappa-monolithic space for any infinite cardinal kappa and present the ...

Let X, Y be asymmetric normed spaces and Lc(X, Y ) the convex cone of all linear continuous operators from X to Y . It is known that in general, Lc(X, Y ) is not a vector space. The aim of this note is to give, using ...

The algebraic topology is a branch of mathematics which the main goal is to solve problems of geometric / topological nature with the aid of Algebra. The homotopy theory is one of the most important topics of the algebraic ...

We investigate a stronger formulation of Webb's conjecture on the contractibility of the orbit space of the p-subgroup complexes in terms of finite topological spaces. The original conjecture, which was first proved by ...