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What (who) is constructible universe - definition

PARTICULAR CLASS OF SETS WHICH CAN BE DESCRIBED ENTIRELY IN TERMS OF SIMPLER SETS

Goedel's constructible universe; Gödel constructible universe; Gödel's constructible universe; Goedel constructibility; Goedel constructible; Goedel constructible universe; Gödel constructible; Gödel constructibility; Godel's universe; Goedel's universe; Goedels universe; Godels universe; L (set theory); Constructible subset; Godel constructible universe; Godel's constructible universe; Goedel universe; Godel constructibility; Godel constructible; Gödel constructive set; Constructible hierarchy; Set-theoretic constructibility; Gödel's L

Constructible set (topology)

IN A TOPOLOGICAL SPACE, A SUBSET EXPRESSIBLE AS A FINITE UNION OF LOCALLY CLOSED SUBSETS

Chevalley's theorem on constructible sets; Retrocompact set; Retrocompact

In topology, a constructible set in a topological space is a finite union of locally closed sets. (A set is locally closed if it is the intersection of an open set and closed set, or equivalently, if it is open in its closure.

https://en.wikipedia.org/wiki/Constructible_set_(topology)

Universe (1983 video game)

SCIENCE FICTION VIDEO GAME BY OMNITREND SOFTWARE

Universe (computer game)

Universe (sometimes called Omnitrend's Universe) is a science fiction space trading and combat game by Omnitrend Software. It was created by William G M Leslie and Thomas R Carbone.

https://en.wikipedia.org/wiki/Universe_(1983_video_game)

Constructible function

FUNCTION WHOSE VALUES CAN BE COMPUTED IN A NUMBER OF STEPS OR A NUMBER OF TURING-MACHINE CELLS OF ORDER GIVEN BY THE FUNCTION ITSELF

Time-constructible function; Space-constructible function; Time constructible; Space constructible; Space-constructible

In complexity theory, a time-constructible function is a function f from natural numbers to natural numbers with the property that f(n) can be constructed from n by a Turing machine in the time of order f(n). The purpose of such a definition is to exclude functions that do not provide an upper bound on the runtime of some Turing machine.

https://en.wikipedia.org/wiki/Constructible_function

Wikipedia

Constructible universe

In mathematics, in set theory, the constructible universe (or Gödel's constructible universe), denoted by L, is a particular class of sets that can be described entirely in terms of simpler sets. L is the union of the constructible hierarchy L_α . It was introduced by Kurt Gödel in his 1938 paper "The Consistency of the Axiom of Choice and of the Generalized Continuum-Hypothesis". In this paper, he proved that the constructible universe is an inner model of ZF set theory (that is, of Zermelo–Fraenkel set theory with the axiom of choice excluded), and also that the axiom of choice and the generalized continuum hypothesis are true in the constructible universe. This shows that both propositions are consistent with the basic axioms of set theory, if ZF itself is consistent. Since many other theorems only hold in systems in which one or both of the propositions is true, their consistency is an important result.

https://en.wikipedia.org/wiki/Constructible universe