Monotone normality, measures and hyperspaces
نویسندگان
چکیده
منابع مشابه
Resolvability and Monotone Normality
A space X is said to be κ-resolvable (resp. almost κ-resolvable) if it contains κ dense sets that are pairwise disjoint (resp. almost disjoint over the ideal of nowhere dense subsets). X is maximally resolvable iff it is ∆(X)-resolvable, where ∆(X) = min{|G| : G 6= ∅ open}. We show that every crowded monotonically normal (in short: MN) space is ω-resolvable and almost μ-resolvable, where μ = mi...
متن کاملAcyclic monotone normality
Moody, P. J. and A. W. Roscoe, Acyclic monotone normality, Topology and its Applications 47 (1992) 53-67. A space X is acyclic monotonically normal if it has a monotonically normal operator M(., .) such that for distinct points x,,, ,x._, in X and x, =x,], n::i M(x,, X\{x,+,}) = (d. It is a property which arises from the study of monotone normality and the condition “chain (F)“. In this paper i...
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According to Mack a space is countably paracompact if and only if its product with [0, 1] is δ-normal, i.e. any two disjoint closed sets, one of which is a regular Gδ-set, can be separated. In studying monotone versions of countable paracompactness, one is naturally led to consider various monotone versions of δ-normality. Such properties are the subject of this paper. We look at how these prop...
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Identification of monotone measures is a very challenge process. Based on an existing data set of a set function (or, set functions) defined on the power set of a given finite universal set, to determine a monotone measure, simply switching the values of the given set function that violate the monotonicity is not the optimal way and it also causes some side effects. The paper proposes an algori...
متن کاملTotally Monotone Core and Products of Monotone Measures
Several approaches to the product of non-additive monotone measures (or capacities) are discussed and a new approach is proposed. It starts with the M obius product [E. Hendon, H.J. Jacobsen, B. Sloth, T. Tranñs, The product of capacities and belief functions, Mathematical Social Sciences 32 (1996) 95±108] of totally monotone measures and extends it by means of a supremum to general monotone m...
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 1998
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(97)00139-9