K - Fréchet-Urysohn properties in rectifiable spaces

Abstract

A topological space G is called a rectifiable space if there is a homeomorphism 𝞿:G x G → G x G and an element e ϵ G such that π₁ ○ 𝞿 = π₁ and for every x ϵ G we have 𝞿(x,x) = (x,e), where π₁ : G x G → G is the projection to the first coordinate. Then, 𝞿 is called a rectification on G and e is a right unit element of G . Recently, rectifiable spaces have been studied by many authors who have put many open questions that have yet to be answered. In this article. we give K- Fréchet-Urysohn properties in rectifiable spaces. These findings are used to generalize a result in [8].