Zobrazeno 1 - 10
of 5 700
pro vyhledávání: '"Inverse limits"'
Autor:
Hristova, Elitza, Stankov, Bogdan
In the spirit of the action of the symmetric group on the ring of polynomials in $n$ variables, we consider the actions of the seven frieze groups on rings of formal infinite linear combinations of monomials of restricted degree. For each group we de
Externí odkaz:
http://arxiv.org/abs/2409.16985
We give a number of constructions where inverse limits seriously degrade properties of regular rings, such as unit-regularity, diagonalisation of matrices, and finite stable rank. This raises the possibility of using inverse limits to answer the long
Externí odkaz:
http://arxiv.org/abs/2405.06837
Characterising the Haar measure on the $p$-adic rotation groups via inverse limits of measure spaces
Autor:
Aniello, Paolo, L'Innocente, Sonia, Mancini, Stefano, Parisi, Vincenzo, Svampa, Ilaria, Winter, Andreas
We determine the Haar measure on the compact $p$-adic special orthogonal groups of rotations $\mathrm{SO}(d)_p$ in dimension $d=2,3$, by exploiting the machinery of inverse limits of measure spaces, for every prime $p>2$. We characterise $\mathrm{SO}
Externí odkaz:
http://arxiv.org/abs/2401.14298
Akademický článek
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Akademický článek
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In this note, we investigate Jacobian conjecture through investigation of automorphisms of polynomial rings in characteristic $p$. Making use of the technique of inverse limits, we show that under Jacobian condition for a given homomorphism $\varphi$
Externí odkaz:
http://arxiv.org/abs/2401.11072
Autor:
Glazunov, Nikolaj
We construct direct and inverse systems of Minkowski's balls and domains, direct and inverse systems of their critical lattices and calculate their direct and inverse limits.
Comment: 6 pages, Fixed typos
Comment: 6 pages, Fixed typos
Externí odkaz:
http://arxiv.org/abs/2308.03055
Autor:
W.T. Ingram, William S. Mahavier
Inverse limits provide a powerful tool for constructing complicated spaces from simple ones. They also turn the study of a dynamical system consisting of a space and a self-map into a study of a (likely more complicated) space and a self-homeomorphi