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pro vyhledávání: '"Poddar, Jyotirmoy"'
Using the notions of Topological dynamics, H. Furstenberg defined central sets and proved the Central Sets Theorem. Later V. Bergelson and N. Hindman characterized central sets in terms of algebra of the Stone-\v{C}ech compactification of discrete se
Externí odkaz:
http://arxiv.org/abs/2310.02020
Autor:
Pal, Sujan, Poddar, Jyotirmoy
Sets satisfying Central sets theorem and other Ramsey theoretic large sets were studied extensively in literature. Hindman and Strauss proved that product of some of these large sets is again large. In this paper we show that if we take two combinato
Externí odkaz:
http://arxiv.org/abs/2303.09958
Autor:
Pal, Sujan, Poddar, Jyotirmoy
The Central Sets Theorem near zero was originally proved by Hindman and Leader. Later a version of Central Sets Theorem was proved by De, Hindman and Strauss known to be the stronger Central Sets Theorem. Subsequently many other versions of Central S
Externí odkaz:
http://arxiv.org/abs/2207.01247
Autor:
Goswami, Sayan, Poddar, Jyotirmoy
The Central Sets Theorem was introduced by H. Furstenberg and then afterwards several mathematicians have provided various versions and extensions of this theorem. All of these theorems deal with central sets, and its origin from the algebra of Stone
Externí odkaz:
http://arxiv.org/abs/2106.14435
Autor:
Goswami, Sayan, Poddar, Jyotirmoy
Publikováno v:
In Indagationes Mathematicae November 2022 33(6):1312-1325
Autor:
Pal, Sujan, Poddar, Jyotirmoy
The central sets theorem near zero originally proved by M. Akbari Tootkaboni and E. Bayatmanesh. In this paper, we provide a generalization of the near zero version of Central Sets Theorem along Dev Phulara's way with some applications along two more
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::195557a6ad2b0f8d614f9a2e5c5dc5df
http://arxiv.org/abs/2207.01247
http://arxiv.org/abs/2207.01247