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Tverberg theorem
Tverberg proved that for a given set M of points of Eukleidian space E with a restriction to the number of these points and to the dimension of E there exists a partition of M such that convex classes of this partition have non-empty interse...
Pure mathematics
- 2019 •
- Jost •
- Link
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Jost - Ostatní články v recenzovaných periodicích
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Note on the colored Tverberg theorem
BA - Obecná matematika
- 1996 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A Geometric Proof of the Colored Tverberg Theorem
The colored Tverberg theorem asserts that for every d and r there exists t=t(d,r) such that for every set C in R^(d) of cardinality (d+1)t, partitioned into t-point subsets C_1,C_2,...,C_(d+1) (which we think of as color classes; e....
BA - Obecná matematika
- 2012 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Computing Homotopy Classes for Diagrams
Elmendorf’s theorem, we deduce an algorithm that, given finite simplicial sets X, A, Y to Tverberg-type problem in computational topology: Given a k-dimensional simplicial......
Pure mathematics
- 2023 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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ON GENERALIZED HEAWOOD INEQUALITIES FOR MANIFOLDS: A VAN KAMPEN-FLORES-TYPE NONEMBEDDABILITY RESULT
-Flores theorem. In the spirit of Kuhnel's conjecture, we prove that if the k results generalize to maps without q-covered points, in the spirit of Tverberg's theorem, for q a prime power. Our proof uses a result ...
Pure mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Interesting generalizations of the Ptolemy`s theorem
The paper gives proofs of a number generalizations of the Ptolemy`s theorem. Particularly Fuhrmann?s theorem, Purser`s theorem and Casey`s theorem....
AM - Pedagogika a školství
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Brooks' Theorem via Alon-Tarsi Theorem
We prove Brooks' Theorem using the algebraic theorem of Alon-Tarsi.
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
To the basic theorems about a right triangle
The article deals with theorems on a right triangle, especially the Pythagorean theorem and Euclidean theorems on the perpendicular and the height, and theorems turned to all theorems. In the textbooks, li...
Education, special (to gifted persons, those with learning disabilities)
- 2022 •
- Jost •
- Link
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Jost - Ostatní články v recenzovaných periodicích
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Solid analogies between two plane geometry theorems
In this contribution are presented and discussed two interesting solid geometry theorems, namely Faulhaber's theorem which is parallel to the Thales theorem, and Fiedler's theorem which is parallel to the Pythagore...
AM - Pedagogika a školství
- 2014 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Generalized convergence theorems for monotone measures
of absolute continuity, we establish generalized Egoroff's theorem, generalized Riesz's theorem and generalized Lebesgue's theorem in the framework involving the ordered pair of monotone measures. The Egoroff theorem
Pure mathematics
- 2021 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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