English

Some Combinatorial Concepts near an Idempotent

Functional Analysis 2022-03-28 v2 Combinatorics

Abstract

A small part of real line which is very close to zero has rich combinatorial properties. The aim of this paper is to express and then prove some locally combinatorial concepts near a virtual idempotent by considering the wapwap-compactification of a semitopological semigroup SS. The wapwap-compactification of a semitopological semigroup SS, is denoted by SwS^w, the collection of all ultrafilters near an idempotent ηSw\eta\in S^w forms a compact subsemigroup of βSd\beta S_d, where SdS_d denotes SS as discrete space.

Keywords

Cite

@article{arxiv.1903.02417,
  title  = {Some Combinatorial Concepts near an Idempotent},
  author = {A. Pashapournia and M. A. Tootkaboni and D. Ebrahimi Bagha},
  journal= {arXiv preprint arXiv:1903.02417},
  year   = {2022}
}
R2 v1 2026-06-23T07:59:57.133Z