Please use this identifier to cite or link to this item: http://hdl.handle.net/10316/43791
Title: Monotone normality and stratifiability from a pointfree point of view
Authors: Gutiérrez García, Javier 
Picado, Jorge 
de Prada Vicente, María Ángeles 
Issue Date: 2014
Publisher: Elsevier
Project: PEst-C/MAT/UI0324/2011 
Abstract: Monotone normality is usually defined in the class of T_1 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.
URI: http://hdl.handle.net/10316/43791
Other Identifiers: 10.1016/j.topol.2014.02.020
DOI: 10.1016/j.topol.2014.02.020
Rights: embargoedAccess
Appears in Collections:I&D CMUC - Artigos em Revistas Internacionais

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