Mesurabilité des débuts et théorème de section : le lot à la portée de toutes les bourses
Mesurable Outer Kernels Of Sets
Metamathematics of the alternative set theory. I.
Metamathematics of the alternative set theory. II.
Metamathematics of the alternative set theory. III.
Metastability in the Furstenberg-Zimmer tower
According to the Furstenberg-Zimmer structure theorem, every measure-preserving system has a maximal distal factor, and is weak mixing relative to that factor. Furstenberg and Katznelson used this structural analysis of measure-preserving systems to provide a perspicuous proof of Szemerédi’s theorem. Beleznay and Foreman showed that, in general, the transfinite construction of the maximal distal factor of a separable measure-preserving system can extend arbitrarily far into the countable ordinals....
Methode A Resoudre Des Relations Dont Les Resolutions Appartiennent A Un Ensemble Fini
Méthode à résoudre des relations dont les résolutions appartiennent à un ensemble fini.
Metric spaces admitting only trivial weak contractions
If (X,d) is a metric space then a map f: X → X is defined to be a weak contraction if d(f(x),f(y)) < d(x,y) for all x,y ∈ X, x ≠ y. We determine the simplest non-closed sets X ⊆ ℝⁿ in the sense of descriptive set-theoretic complexity such that every weak contraction f: X → X is constant. In order to do so, we prove that there exists a non-closed set F ⊆ ℝ such that every weak contraction f: F → F is constant. Similarly, there exists a non-closed set G ⊆ ℝ such that every weak contraction...
Metric spaces with point character equal to their size
In this paper we consider the point character of metric spaces. This parameter which is a uniform version of dimension, was introduced in the context of uniform spaces in the late seventies by Jan Pelant, Cardinal reflections and point-character of uniformities, Seminar Uniform Spaces (Prague, 1973–1974), Math. Inst. Czech. Acad. Sci., Prague, 1975, pp. 149–158. Here we prove for each cardinal , the existence of a metric space of cardinality and point character . Since the point character can...
Metrics and tolerances
Metrics on vector spaces with -localisation.
m-existentially complete structures
Minimal compatible tolerances on lattices
Minimal monads
Minimal paradoxical decomposition for Mycielski's square
Minimal predictors in hat problems
We consider a combinatorial problem related to guessing the values of a function at various points based on its values at certain other points, often presented by way of a hat-problem metaphor: there are a number of players who will have colored hats placed on their heads, and they wish to guess the colors of their own hats. A visibility relation specifies who can see which hats. This paper focuses on the existence of minimal predictors: strategies guaranteeing at least one player guesses correctly,...
Minimal ultrafilters and maximal endomorphic universes
Minimality in the -degrees
Minimality of non-σ-scattered orders
We will characterize-under appropriate axiomatic assumptions-when a linear order is minimal with respect to not being a countable union of scattered suborders. We show that, assuming PFA⁺, the only linear orders which are minimal with respect to not being σ-scattered are either Countryman types or real types. We also outline a plausible approach to demonstrating the relative consistency of: There are no minimal non-σ-scattered linear orders. In the process of establishing these results, we will...