We prove the following conjecture of Atanassov (Studia Sci. Math. Hungar. 32 (1996), 71-74). Let T be a triangulation of a d-dimensional polytope P with n vertices v 1 ; v 2 ; . . . ; v n : Label the vertices of T by 1; 2; . . . ; n in such a way that a vertex of T belonging to the interior of a fac
A constructive proof of a permutation-based generalization of Sperner's lemma
โ Scribed by R. B. Bapat
- Publisher
- Springer-Verlag
- Year
- 1989
- Tongue
- English
- Weight
- 351 KB
- Volume
- 44
- Category
- Article
- ISSN
- 0025-5610
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
## Abstract Suppose that __f~n~__ is a sequence of nonnegative functions with compact support on a locally compact metric space, that __T__ is a nonnegative linear functional, and that $ \sum ^\infty \_{n=1}$ __T f~n~__ < __T f~0~__. A result of Bishop, foundational to a constructive theory of func
The a]gebraie proof of CrMg's interpolation lemma for m-valued logic was given by Rasiowa in [i]. We present here a constructive proof of this lemma, based on a Gentzen type formMization. :Let J be the set oi all formulas oi m-valued predicate calculus. We assume that our language does not contain