4 papers
A Study on Filter Version of Strongly Central Sets
Dibyendu De, Sujan Pal, Jyotirmoy Poddar
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…
A combinatorial study on product of filter large sets
Sujan Pal, Jyotirmoy Poddar
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 se…
A Study Of Some Generalized Central Sets Theorem Along Phulara's Way
Sujan Pal, Jyotirmoy Poddar
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 strong…
Central Sets Theorem along filters and some combinatorial consequences
Sayan Goswami, Jyotirmoy Poddar
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 the…