Results 11 to 20 of about 364 (198)
Traversable Wormholes and the Brouwer Fixed-Point Theorem [PDF]
Journal of Applied Mathematics and Physics, 2020 6 pages, 1 ...
Peter K. F. Kuhfittig
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Towards a noncommutative Brouwer fixed-point theorem from the Borsuk-Ulam theorem perspective [PDF]
Journal of Geometry and Physics, 2015 We present some results and conjectures on a generalization to the noncommutative setup of the Brouwer fixed-point theorem from the Borsuk-Ulam theorem perspective.
Ludwik Dąbrowski
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A Brouwer fixed-point theorem for graph endomorphisms [PDF]
Fixed Point Theory and Applications, 2013 We prove a Lefschetz formula for general simple graphs which equates the Lefschetz number L(T) of an endomorphism T with the sum of the degrees i(x) of simplices in G which are fixed by T. The degree i(x) of x with respect to T is defined as a graded sign of the permutation T induces on the simplex x multiplied by -1 if the dimension of x is odd.
Oliver Knill
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Spherical Designs via Brouwer Fixed Point Theorem [PDF]
SIAM Journal on Discrete Mathematics, 2010 17 ...
Andriy Bondarenko, Maryna Viazovska
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Brouwer Fixed Point Theorem for Simplexes [PDF]
Formalized Mathematics, 2011 Summary. In this article we prove the Brouwer fixed point theorem for an arbitrary simplex which is the convex hull of its n + 1 anely indepedent vertices of E n . First we introduce the Lebesgue number, which for an arbitrary open cover of a compact metric space M is a positive real number so that any ball of about such radius must be completely ...
Karol Pąk
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Browder’s Theorem through Brouwer’s Fixed Point Theorem
The American Mathematical Monthly, 2023 One of the conclusions of Browder (1960) is a parametric version of Brouwer's Fixed Point Theorem, stating that for every continuous function $f : ([0,1] \times X) \to X$, where $X$ is a simplex in a Euclidean space, the set of fixed points of $f$, namely, the set $\{(t,x) \in [0,1] \times X \colon f(t,x) = x\}$, has a connected component whose ...
Solan, Eilon, Solan, Omri N.
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A theorem equivalent to the Brouwer fixed point theorem [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1971 Zen'ichirô Koshiba
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Brouwer Fixed Point Theorem in (L^0)^d [PDF]
Fixed Point Theory and Applications, 2013 The classical Brouwer fixed point theorem states that in R^d every continuous function from a convex, compact set on itself has a fixed point. For an arbitrary probability space, let L^0 = L^0 ( , A,P) be the set of random variables. We consider (L^0)^d as an L^0-module and show that local, sequentially continuous functions on closed and bounded ...
Samuel Drapeau +3 more
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Using Brouwer’s Fixed Point Theorem [PDF]
, 2017 Brouwer's fixed point theorem from 1911 is a basic result in topology - with a wealth of combinatorial and geometric consequences. In these lecture notes we present some of them, related to the game of HEX and to the piercing of multiple intervals.
Björner, Anders +2 more
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