Polynomial central set theorem near zero

2019/12/19 by Aninda Chakraborty, Chakraborty, Aninda, Sayan Goswami +1
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.1912.09994

7 pages

arxiv created 2019/12/19 · arxiv updated 2019/12/23

Abstract

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 Central Set Theorem has been proved by V. Bergelson, J. H. Johnson Jr. and J. Moreira. In this article, we will prove Polynomial Central Set Theorem near zero.

Related

• Polynomial extension of stronger central set theorem near zero
• Multidimensional central sets theorem near zero
• Polynomial extension of the Stronger Central Sets Theorem
• Central set Theorem near zero
• A combinatorial approach to central to theorem