Tkachenko, M. G. On spectral resolution of free topological groups. (English. Russian original) Zbl 0546.22002 Russ. Math. Surv. 39, No. 2, 205-206 (1984); translation from Usp. Mat. Nauk 39, No. 2(236), 191-192 (1984). A condition on a Tikhonov space X is found for the representation of the Markov free topological group F(X) as a special inverse limit. Corollary: if Y is a closed subspace of a 0-dimensional metric space X, then the canonical embedding F(Y)\(\to F(X)\) is a homeomorphism. Reviewer: Y.N.Mukhin Cited in 1 Document MSC: 22A05 Structure of general topological groups 54B35 Spectra in general topology Keywords:Tikhonov space; Markov free topological group; inverse limit PDF BibTeX XML Cite \textit{M. G. Tkachenko}, Russ. Math. Surv. 39, No. 2, 205--206 (1984; Zbl 0546.22002); translation from Usp. Mat. Nauk 39, No. 2(236), 191--192 (1984) Full Text: DOI