SOME NEW PROPERTIES OF RECTIFIABLE SPACES
Corresponding Author(s) : Ong Van Tuyen
UED Journal of Social Sciences, Humanities and Education,
Vol. 7 No. 1 (2017): UED JOURNAL OF SOCIAL SCIENCES, HUMANITIES AND EDUCATION
A topological space is called a rectifiable space if there exist a homeomorphism and an element such that and for every we have where is the projection to the first coordinate. Then, is called a rectification on and is a right unit element of . Recently, rectifiable spaces have been studied by many authors and they have raised many open questions that still remain unanswered. In this article, we prove that if is a compact subset and is a closed subset of a rectifiable space such that then there exists an open neighborhood of such that . Moreover, we give two other properties related to rectifiable subspaces. These serve as bases for us to obtain a result in .
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