THE FIRST COUNTABLE PROPERTY OF RECTIFIABLE SUBSPACES
Corresponding Author(s) : Ong Van Tuyen
UED Journal of Social Sciences, Humanities and Education,
Vol. 7 No. 2 (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, who have raised various open questions that have yet to be answered. In this article, we prove that if is a rectifiable subspace that satisfies the first countable premise of a rectifiable space then is also a first-countable subspace of This helps us to achieve the result in .
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