Date Log
Submitted
Aug 7, 2020
Published
Dec 30, 2017
FRÉCHET-URYSOHN PROPERTIES IN RECTIFIABLE SPACES
Corresponding Author(s) : Ong Van Tuyen
tuyenvan612dn@gmail.com
UED Journal of Social Sciences, Humanities and Education,
Vol. 7 No. 5 (2017): UED JOURNAL OF SOCIAL SCIENCES, HUMANITIES AND EDUCATION
Abstract
A topological space is called a rectifiable space if there is 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 put many open questions that have yet to be answered. In this article, we give -Fréchet-Urysohn properties in rectifiable spaces. These findings are used to generalize a result in [8].
Keywords
Rectifiable space; -Fréchet-Urysohn space; strongly -Fréchet-Urysohn space; first-countable space; compact subset.
Luong Quoc Tuyen, Ong Van Tuyen, & Tran Le Thuong. (2017). FRÉCHET-URYSOHN PROPERTIES IN RECTIFIABLE SPACES. UED Journal of Social Sciences, Humanities and Education, 7(5), 29-33. https://doi.org/10.47393/jshe.v7i5.824
Download Citation
Endnote/Zotero/Mendeley (RIS)BibTeX
References
-
[1] Choban M. M. (1987). On Topological Homogenous Algebras. In: Interim Reports of II Prague Topol. Sym., Prague, 25-26.
[2] Engelking R. (1989). General Topology. Heldermann Verlag, Berlin.
[3] Gul’ko A. S. (1996). Rectifiable spaces. Topology Appl., 68, 107-112.
[4] Lin F., Liu C. and Lin S. (2012). A note on rectifiable spaces. Topology Appl., 159, 2090-2101.
[5] Lin F., Zhang J. and Zhang K. (2015). Locally -compact rectifiable spaces. Topology Appl., 193, 182-191.
[6] Ong Van Tuyen và Nguyen Van Trung Tin (2017). Some new properties of rectifiable spaces. Journal of Science and Education, 22(01), 31-35.
[7] Sakai M. (2008). Function spaces with a countable -network at a point. Topology Appl., 156(1), 117-123.
[8] Zhang J. and He W. (2015). Connected and sequentially compact rectifiable spaces. Adv. Math. (China), 44(4), 615-620.