Centre for Mathematics, University of Coimbra

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Type:	Preprint
National /International:	International
Title:	Monotone normality and stratifiability from a pointfree point of view
Publication Date:	2013-06-28
Authors:	- Javier Gutiérrez García - Jorge Picado - Maria Angeles de Prada Vicente
Abstract:	Monotone normality is usually defined in the class of T₁ spaces. In this paper we study it under the weaker condition of subfitness, a separation condition that originates in pointfree topology. In particular, we extend some well known characterizations of these spaces to the subfit context (notably, their hereditary property and the preservation under surjective continuous closed maps) and present a similar study for stratifiable spaces, an important subclass of monotonically normal spaces. In the second part of the paper, we extend further these ideas to the lattice theoretic setting. In particular, we give the pointfree analogues of the previous results on monotonically normal spaces and introduce and investigate the natural pointfree counterpart of stratifiable spaces.
Institution:	DMUC 13-25
Online version:	http://www.mat.uc.pt...prints/eng_2013.html
Download:	Not available