Large sets near idempotent and its product

Biswas, Surajit; Patra, S.

doi:10.1007/s00233-023-10342-5

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2023

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“…Although, we do not concentrate on dynamical system concepts in this paper, according to the central sets theorem near zero and the definition of C -sets, one can extend the definitions of C * -sets and IP * -sets to near zero. For example, see large sets defined near zero in [11,12]. In particular, to see the Ramsey theory concepts near zero, see [13].…”

Section: Introductionmentioning

confidence: 99%

Central Sets Theorem Near of an Idempotent in Wap-Compactification

Tootkaboni

Bagha

2023

Journal of Function Spaces

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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 wap -compactification of a semitopological semigroup S . The wap -compactification of a semitopological semigroup S , denoted by S w , is the collection of all ultrafilters near η ∈ S w that forms a compact subsemigroup of β S d , where S d denotes S as discrete space.

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Section: Introductionmentioning

confidence: 99%