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Concept
A simplicial map is a function between simplicial complexes that respects their combinatorial structure by mapping vertices of one complex to vertices of another in a way that preserves the simplices. This concept is fundamental in algebraic topology, where it facilitates the study of topological spaces through their discrete approximations, leading to insights into their homotopy and homology properties.
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Combinatorial Game Theory is a branch of mathematics that studies sequential games with perfect information, where players take turns making moves from a finite set of options, and the outcome is determined solely by the players' decisions. It focuses on analyzing strategies and determining winning and losing positions, often using mathematical structures like game trees and algebraic methods to evaluate positions and outcomes.
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