In set theory, a branch of mathematics, the axiom of uniformization is a weak form of the axiom of choice. It states that if R {\displaystyle R} is a subset...

Polish space Prewellordering Projective set Property of Baire Uniformization (set theory) Universally measurable set Determinacy AD+ Axiom of determinacy...

up uniformization in Wiktionary, the free dictionary. Uniformization may refer to: Uniformization (set theory), a mathematical concept in set theory Uniformization...

Axiomatic constructive set theory is an approach to mathematical constructivism following the program of axiomatic set theory. The same first-order language...

Polish space Prewellordering Projective set Property of Baire Uniformization (set theory) Universally measurable set Determinacy AD+ Axiom of determinacy...

conditions for a topological space to be metrizable. Set-theoretic topology is a subject that combines set theory and general topology. It focuses on topological...

uniformity The uniformity non(I) of I is the smallest cardinality of a subset of X not in the ideal I of subsets of X uniformization Uniformization is...

provides a theory in which space time is fundamentally discrete while retaining local Lorentz invariance. A causal set (or causet) is a set C {\displaystyle...

with the work of the geologist James Hutton in his many books including Theory of the Earth. Hutton's work was later refined by scientist John Playfair...

mathematical theory of metric spaces, ε-nets, ε-packings, ε-coverings, uniformly discrete sets, relatively dense sets, and Delone sets (named after Boris...

originally isolated as a concept in the theory of uniformization, but have found wide applicability in descriptive set theory, with applications such as establishing...

certain large cardinals. ADR is equivalent to AD plus the axiom of uniformization. AD+ Axiom of projective determinacy Topological game Ikegami, Daisuke;...

In set theory, the Baire space is the set of all infinite sequences of natural numbers with a certain topology, called the product topology. This space...

mathematics, uniform integrability is an important concept in real analysis, functional analysis and measure theory, and plays a vital role in the theory of martingales...

homotopy theory and functional analysis. It was introduced by Ralph Fox in 1945. If the codomain of the functions under consideration has a uniform structure...

Named set theory is a branch of theoretical mathematics that studies the structures of names. The named set is a theoretical concept that generalizes...

choice Axiom of dependent choice Boolean prime ideal theorem Axiom of uniformization Axiom of real determinacy Von Neumann–Bernays–Gödel axioms Continuum...

up Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems...

In descriptive set theory the Jankov–von Neumann uniformization theorem is a result saying that every measurable relation on a pair of standard Borel spaces...

century, set theory (specifically Zermelo–Fraenkel set theory) became the most common foundation of mathematics. In set theory, any two sets are defined...

axiom of set theory. Informally put, the axiom of choice says that given any collection of non-empty sets, it is possible to construct a new set by choosing...

[...]. Hardy, S.; Corones, A. (2017). "The Nurse's Uniform as Ethopoietic Fashion". Fashion Theory. 21 (5): 523–552. doi:10.1080/1362704X.2016.1203090...

Glivenko–Cantelli classes of functions or sets. The Glivenko–Cantelli classes arise in Vapnik–Chervonenkis theory, with applications to machine learning...

foreshadowed by results in set theory such as the classical theorem that the axiom of choice and Zorn's lemma are equivalent over ZF set theory. The goal of reverse...

mathematics compact convergence (or uniform convergence on compact sets) is a type of convergence that generalizes the idea of uniform convergence. It is associated...

discrete and Euclidean geometries, graph theory, group theory, model theory, number theory, set theory, Ramsey theory, dynamical systems, and partial differential...

In probability theory and statistics, the discrete uniform distribution is a symmetric probability distribution wherein each of some finite whole number...

interpretations, probability theory treats the concept in a rigorous mathematical manner by expressing it through a set of axioms. Typically these axioms...

have their own theory, where there are some connections. Low-dimensional topology is strongly geometric, as reflected in the uniformization theorem in 2...

In information theory, the entropy of a random variable quantifies the average level of uncertainty or information associated with the variable's potential...