On diagonal resolvable spheres期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On diagonal resolvable spheres

Authors:	Pavle V.M. Blagojević,Aleksandra Dimitrijević Blagojević,Ljubi&scaron a D.R. Kočinac

Affiliation:	1. Institut für Mathematik, FU Berlin, Arnimallee 2, 14195 Berlin, Germany;2. Mathematical Institute of SASA, Knez Mihailova 36, 11001 Beograd, Serbia;3. Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia

Abstract:	In this paper we give the complete answer to a question posed by A. Arhangel?skii and prove that the sphere Sⁿ $S^{n}$ is diagonal resolvable if and only if Sⁿ $S^{n}$ is an H -space if and only if n∈{0,1,3,7} $n \in {0, 1, 3, 7}$ . Moreover, we prove that any upper half even dimensional Q $Q$ -sphere cannot be diagonal resolvable.

Keywords:	54H11 55Q25
本文献已被 ScienceDirect 等数据库收录！