Gugnin, D. V. On the structure of coset \(n\)-valued topological groups on \(S^3\) and \(\mathbb{R}P^3\). (English. Russian original) Zbl 1522.57050 Funct. Anal. Appl. 57, No. 1, 71-73 (2023); translation from Funkts. Anal. Prilozh. 57, No. 1, 90-92 (2023). Summary: Three-dimensional manifolds carrying the structure of \(n\)-valued coset topological groups originating from the Lie groups \(Sp(1)\) and \(SO(3)\) are classified. Cited in 1 Document MSC: 57M60 Group actions on manifolds and cell complexes in low dimensions 57K30 General topology of 3-manifolds 57T99 Homology and homotopy of topological groups and related structures 22E15 General properties and structure of real Lie groups Keywords:Lie group; \(n\)-valued topological group; symmetric power × Cite Format Result Cite Review PDF Full Text: DOI References: [1] Buchstaber, V. M., Mosc. Math. J., 6, 1, 57-84 (2006) · Zbl 1129.20045 · doi:10.17323/1609-4514-2006-6-1-57-84 [2] Illman, S., Math. Ann., 233, 3, 199-220 (1978) · Zbl 0359.57001 · doi:10.1007/BF01405351 [3] Waldhausen, F., Topology, 8, 81-91 (1969) · Zbl 0185.27603 · doi:10.1016/0040-9383(69)90033-0 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.