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Mathematics 2nd edition, Chapter 2-8: Axioms defining equivalence, pp 48–50, John Wiley & Sons. Datos: Q130998 Multimedia: Equivalence relations / Q130998…21 kB (3003 palabras) - 19:07 13 abr 2024- S2CID 120657722. doi:10.1007/BF02944957. Denis Higgs (1970). «Boolean-valued equivalence relations and complete extensions of complete boolean algebras». Bulletin…8 kB (892 palabras) - 19:30 4 feb 2024
Resultados de la Wikipedia en inglés.
- the set X {\displaystyle X} with respect to R {\displaystyle R} . The following relations are all equivalence relations: "Is equal to" on the set of numbers…30 kB (4422 palabras) - 16:31 24 ene 2024
- elements of some set S {\displaystyle S} have a notion of equivalence (formalized as an equivalence relation), then one may naturally split the set S {\displaystyle…16 kB (2323 palabras) - 09:51 17 may 2024
- relation on a set defines a partition of this set, and every partition defines an equivalence relation. A set equipped with an equivalence relation or a…14 kB (1881 palabras) - 20:45 11 may 2024
- In set theory, the complement of a set A, often denoted by A ∁ {\displaystyle A^{\complement }} (or A′), is the set of elements not in A. When all elements…12 kB (1482 palabras) - 10:00 8 may 2024
- most mathematical objects (numbers, relations, functions, etc.) are defined in terms of sets. Naive set theory suffices for many purposes, while also…34 kB (4715 palabras) - 07:25 14 feb 2024
- Preorder (redirección desde Preordered set)a partial order on the set of equivalence class. Like partial orders and equivalence relations, preorders (on a nonempty set) are never asymmetric. A…23 kB (3351 palabras) - 13:42 28 may 2024
- It is also an example of a theory that is superstable but not totally transcendental. The signature of equivalence relations has one binary infix relation…36 kB (5269 palabras) - 04:45 30 abr 2024
- contemporary area of research in descriptive set theory studies Borel equivalence relations. A Borel equivalence relation on a Polish space X is a Borel subset…10 kB (1595 palabras) - 08:10 9 sep 2023
- Order theory is a branch of mathematics that investigates the intuitive notion of order using binary relations. It provides a formal framework for describing…31 kB (4508 palabras) - 11:49 5 mar 2024
- defined as sets satisfying various (axiomatic) properties. Equivalence and order relations are ubiquitous in mathematics, and the theory of mathematical…41 kB (5015 palabras) - 18:36 22 abr 2024
- In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations…9 kB (1262 palabras) - 02:59 23 feb 2024
- ring theory it is used for the exclusive or operation) ~ 1. The difference of two sets: x~y is the set of elements of x not in y. 2. An equivalence relation…91 kB (11 511 palabras) - 21:47 23 may 2024
- also reflexive, then the relation is an equivalence relation. Formally, a relation R {\displaystyle R} on a set X {\displaystyle X} is a PER if it holds…7 kB (1138 palabras) - 17:37 16 mar 2024
- Binary relation (redirección desde Set-like relation)identity corresponds to difunctional, a generalization of equivalence relation on a set. Relations may be ranked by the Schein rank which counts the number…63 kB (8911 palabras) - 06:59 31 may 2024
- a Borel subset of X × X (in the product topology). Given Borel equivalence relations E and F on Polish spaces X and Y respectively, one says that E is…3 kB (317 palabras) - 07:52 2 dic 2023
- relations are five equivalence relations that characterise the elements of a semigroup in terms of the principal ideals they generate. The relations are…16 kB (2295 palabras) - 07:59 18 ago 2023
- Axiomatic constructive set theory is an approach to mathematical constructivism following the program of axiomatic set theory. The same first-order language…211 kB (34 880 palabras) - 17:22 1 jun 2024
- descriptive set theory and related areas of mathematics, a hyperfinite equivalence relation on a standard Borel space X is a Borel equivalence relation E…12 kB (1671 palabras) - 12:41 5 ene 2024
- Principia Mathematica (redirección desde Ramified Theory of Types)sections ✱20 GENERAL THEORY OF CLASSES and ✱21 GENERAL THEORY OF RELATIONS. "Relations" are what is known in contemporary set theory as sets of ordered pairs…71 kB (9458 palabras) - 19:33 22 may 2024
- Neumann–Bernays–Gödel set theory (NBG) is an axiomatic set theory that is a conservative extension of Zermelo–Fraenkel–choice set theory (ZFC). NBG introduces…97 kB (15 521 palabras) - 03:54 3 mar 2024
- operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures for evaluating…15 kB (1865 palabras) - 16:28 28 may 2024