On monotone and pointwise splittability
Lj. Kočinac (1991)
Matematički Vesnik
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Lj. Kočinac (1991)
Matematički Vesnik
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Kvinikadze, G. (1999)
Memoirs on Differential Equations and Mathematical Physics
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Martin Gavalec, Ján Plavka (2010)
Kybernetika
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The interval eigenproblem in max-min algebra is studied. A classification of interval eigenvectors is introduced and six types of interval eigenvectors are described. Characterization of all six types is given for the case of strictly increasing eigenvectors and Hasse diagram of relations between the types is presented.
Marko Švec (1967)
Colloquium Mathematicae
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Andrzej Smajdor (2006)
Annales Polonici Mathematici
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We define absolutely monotone multifunctions and prove their analyticity on an interval [0,b).
Philip Hartman (1976)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Aleš Nekvinda, Ondřej Zindulka (2011)
Fundamenta Mathematicae
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A metric space (X,d) is monotone if there is a linear order < on X and a constant c such that d(x,y) ≤ cd(x,z) for all x < y < z in X, and σ-monotone if it is a countable union of monotone subspaces. A planar set homeomorphic to the Cantor set that is not σ-monotone is constructed and investigated. It follows that there is a metric on a Cantor set that is not σ-monotone. This answers a question raised by the second author.
Ian Stares (1995)
Commentationes Mathematicae Universitatis Carolinae
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We provide a characterisation of monotone normality with an analogue of the Tietze-Urysohn theorem for monotonically normal spaces as well as answer a question due to San-ou concerning the extension of Urysohn functions in monotonically normal spaces. We also extend a result of van Douwen, giving a characterisation of -spaces in terms of semi-continuous functions, as well as answer another question of San-ou concerning semi-continuous Urysohn functions.