| Authors: | Blagojević, Pavle Dimitrijević-Blagojević, Aleksandra Kočinac, Ljubiša |
Affiliations: | Mathematical Institute of the Serbian Academy of Sciences and Arts | Title: | On diagonal resolvable spheres | Journal: | Topology and its Applications | Volume: | 160 | Issue: | 18 | First page: | 2335 | Last page: | 2339 | Issue Date: | 1-Dec-2013 | Rank: | M22 | ISSN: | 0166-8641 | DOI: | 10.1016/j.topol.2013.07.027 | Abstract: | In this paper we give the complete answer to a question posed by A. Arhangel'skii and prove that the sphere Sn is diagonal resolvable if and only if Sn is an H-space if and only if n∈{0, 1, 3, 7}. Moreover, we prove that any upper half even dimensional Q-sphere cannot be diagonal resolvable. |
Keywords: | Diagonal resolvable spaces | Hopf invariant | Publisher: | Elsevier | Project: | European Unionʼs Seventh Framework Programme (FP7/2007-2013)/ERC, Grant agreement No. 247029-SDModels Advanced Techniques of Cryptology, Image Processing and Computational Topology for Information Security Problems in Nonlinear analysis, Operator theory, Topology and applications |
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