4 papers · 1 filter
Polynomial central set theorem near zero
Aninda Chakraborty, Sayan Goswami
N. Hindman and I. Leader introduced the set of ultrafilters 0+ on (0,1) and characterize smallest ideal of (0+,+) and proved the Central Set Theorem near zero. Recently Polynomial…
set in product space of countable adequate commutative partial semigroups
Aninda Chakraborty
A partial semigroup is a set with restricted binary operation. In this work we will extend a result due to V. Bergelson and N. Hindman concerning the rich structure presented in th…
Sets with arithmetic progressions are abundant
Aninda Chakraborty, Sayan Goswami
Furstenberg, Glasscock, Bergelson, Beiglboeck have been studied abundance in arithmatic progression on various large sets like piecewise syndetic, central, thick, etc. but also the…
Richness of arithmetic progression in commutative semigroup
Aninda Chakraborty, Sayan Goswami
Furstenberg and Glasner proved that for an arbitrary k in N, any piecewise syndetic set contains k term arithmetic progressions and such collection is also piecewise syndetic in Z:…