Topological games

Banach game

In mathematics, the Banach game is a topological game introduced by Stefan Banach in 1935 in the second addendum to problem 43 of the Scottish book as a variation of the Banach–Mazur game. Given a subset of real numbers, two players alternatively write down arbitrary (not necessarily in ) positive real numbers such that Player one wins if and only if exists and is in . One observation about the game is that if is a countable set, then either of the players can cause the final sum to avoid the set. Thus in this situation the second player can win. (Wikipedia).

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From playlist My Other Videos

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From playlist My Other Videos

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From playlist Calculus

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From playlist MWRC 2015

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From playlist Playing Go

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From playlist 3Blue1Brown | Math for fun and glory | Khan Academy

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From playlist Games and puzzles

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From playlist Build A Pong Game In Unity

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From playlist Games

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From playlist Analysis and its Applications

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From playlist Analysis & Operator Algebras

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From playlist Analysis and its Applications

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From playlist Analysis and its Applications

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From playlist Centro di Ricerca Matematica Ennio De Giorgi

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From playlist Minerva Lectures - Assaf Naor

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From playlist MAST30026 Metric and Hilbert spaces

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How To Build A Pong Game In Unity | Session 04 | #unity | #gamedev

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From playlist Build A Pong Game In Unity

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Eva Gallardo-Gutiérrez: Spectral decompositions and an extension of a theorem of Atzmon: ...

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From playlist Analysis and its Applications

Related pages

Stefan Banach | Countable set | Topological game | Banach–Mazur game