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19 relations: Bronisław Knaster, Brouwer fixed-point theorem, Closed set, Connected space, Convex hull, Cooperative game theory, Cover (topology), David Gale, Economics, Fixed-point theorem, Fundamenta Mathematicae, Homotopy, Kazimierz Kuratowski, Lloyd Shapley, Ravindra Bapat, Simplex, Sperner's lemma, Stefan Mazurkiewicz, Vertex (geometry).
Bronisław Knaster
Bronisław Knaster (22 May 1893 – 3 November 1980) was a Polish mathematician; from 1939 a university professor in Lwów and from 1945 in Wrocław.
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Brouwer fixed-point theorem
Brouwer's fixed-point theorem is a fixed-point theorem in topology, named after L. E. J. (Bertus) Brouwer.
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Closed set
In geometry, topology, and related branches of mathematics, a closed set is a set whose complement is an open set.
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Connected space
In topology and related branches of mathematics, a connected space is a topological space that cannot be represented as the union of two or more disjoint nonempty open subsets.
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Convex hull
In mathematics, the convex hull or convex envelope or convex closure of a set X of points in the Euclidean plane or in a Euclidean space (or, more generally, in an affine space over the reals) is the smallest convex set that contains X. For instance, when X is a bounded subset of the plane, the convex hull may be visualized as the shape enclosed by a rubber band stretched around X., p. 3.
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Cooperative game theory
In game theory, a cooperative game (or coalitional game) is a game with competition between groups of players ("coalitions") due to the possibility of external enforcement of cooperative behavior (e.g. through contract law).
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Cover (topology)
In mathematics, a cover of a set X is a collection of sets whose union contains X as a subset.
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David Gale
David Gale (December 13, 1921 – March 7, 2008) was an American mathematician and economist.
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Economics
Economics is the social science that studies the production, distribution, and consumption of goods and services.
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Fixed-point theorem
In mathematics, a fixed-point theorem is a result saying that a function F will have at least one fixed point (a point x for which F(x).
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Fundamenta Mathematicae
Fundamenta Mathematicae is a peer-reviewed scientific journal of mathematics with a special focus on the foundations of mathematics, concentrating on set theory, mathematical logic, topology and its interactions with algebra, and dynamical systems.
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Homotopy
In topology, two continuous functions from one topological space to another are called homotopic (from Greek ὁμός homós "same, similar" and τόπος tópos "place") if one can be "continuously deformed" into the other, such a deformation being called a homotopy between the two functions.
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Kazimierz Kuratowski
Kazimierz Kuratowski (Polish pronunciation:, 2 February 1896 – 18 June 1980) was a Polish mathematician and logician.
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Lloyd Shapley
Lloyd Stowell Shapley (June 2, 1923 – March 12, 2016) was an American mathematician and Nobel Prize-winning economist.
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Ravindra Bapat
Ravindra B. Bapat is an Indian mathematician.
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Simplex
In geometry, a simplex (plural: simplexes or simplices) is a generalization of the notion of a triangle or tetrahedron to arbitrary dimensions.
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Sperner's lemma
In mathematics, Sperner's lemma is a combinatorial analog of the Brouwer fixed point theorem, which is equivalent to it.
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Stefan Mazurkiewicz
Stefan Mazurkiewicz (25 September 1888 – 19 June 1945) was a Polish mathematician who worked in mathematical analysis, topology, and probability.
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Vertex (geometry)
In geometry, a vertex (plural: vertices or vertexes) is a point where two or more curves, lines, or edges meet.
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K-K-M lemma, K-k-m lemma, K-k-m theorem, KKM lemma, KKMS theorem, Knaster-Kuratowski-Mazurkiewicz lemma.
References
[1] https://en.wikipedia.org/wiki/Knaster–Kuratowski–Mazurkiewicz_lemma
