Results 41 to 50 of about 6,858,530 (350)

Universal countable Borel quasi-orders [PDF]

open access: yes, 2013
In recent years, much work in descriptive set theory has been focused on the Borel complexity of naturally occurring classification problems, in particular, the study of countable Borel equivalence relations and their structure under the quasi-order of ...
Williams, Jay
core   +4 more sources

Lebesgue Measurability of Separately Continuous Functions and Separability

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2007
A connection between the separability and the countable chain condition of spaces with L-property (a topological space X has L-property if for every topological space Y, separately continuous function f:X×Y→ℝ and open set I⊆ℝ, the set f−1(I) is an Fσ-set)
V. V. Mykhaylyuk
doaj   +1 more source

Equidistribution of Elements of Norm 1 in Cyclic Extensions [PDF]

open access: yes, 2014
Upon quotienting by units, the elements of norm 1 in a number field $K$ form a countable subset of a torus of dimension $r_1 + r_2 - 1$ where $r_1$ and $r_2$ are the numbers of real and pairs of complex embeddings.
Petersen, Kathleen L.   +1 more
core   +3 more sources

Classification of dendrites with a countable set of end points

open access: yes, 2012
We prove that for each countable ordinal α in the family of dendrites X with a countable set of end points such that the α -derivative of the set of end points of X is empty there is no universal element.
Sophia Zafiridou
semanticscholar   +1 more source

Compact-calibres of regular and monotonically normal spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
A topological space has calibre ω1 (resp., calibre (ω1,ω)) if every point-countable (resp., point-finite) collection of nonempty open sets is countable.
David W. Mcintyre
doaj   +1 more source

Neutrosophic µ-Topological spaces [PDF]

open access: yesNeutrosophic Sets and Systems, 2020
In this paper, the concept of neutrosophic µ−topological spaces is introduced. We define and study the properties of neutrosophic µ−open sets, µ−closed sets, µ−interior and µ−closure.
Murad Arar, Saeid Jafari
doaj   +1 more source

Pcf theory and cardinal invariants of the reals [PDF]

open access: yes, 2004
The additivity spectrum ADD(I) of an ideal I is the set of all regular cardinals kappa such that there is an increasing chain {A_alpha ...
Burke, Masaru Kada, Maxim R. Burke
core   +3 more sources

On Hausdorff compactifications of non-locally compact spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1979
Let X be a completely regular, Hausdorff space and let R be the set of points in X which do not possess compact neighborhoods. Assume R is compact. If X has a compactification with a countable remainder, then so does the quotient X/R, and a countable ...
James Hatzenbuhler, Don A. Mattson
doaj   +1 more source

Structural aspects of tilings [PDF]

open access: yes, 2008
In this paper, we study the structure of the set of tilings produced by any given tile-set. For better understanding this structure, we address the set of finite patterns that each tiling contains.
Ballier, Alexis   +2 more
core   +5 more sources

Weak and Strong Convergence Theorems for Equilibrium Problems and Countable Strict Pseudocontractions Mappings in Hilbert Space

open access: yesJournal of Inequalities and Applications, 2010
We introduce two iterative sequence for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a countable family of strict pseudocontractions in Hilbert Space.
Shujun Cui, Xilin Shen, Rudong Chen
doaj   +2 more sources

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