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Matematicheskie Zametki, 1970, Volume 8, Issue 6, Pages 711–719 (Mi mzm9621)  
The homotopic type of certain compact semigroups

A. M. Skryago

Leningrad State Pedagogical Institute
Full-text PDF (1429 kB) English version article
Abstract: The relation between homotopic types of compact linearly connected semigroups and their minimal ideals is investigated. In Theorem 1 we prove that, if a semigroup has a homotopic unit, even if it is only one-sided, then the minimal ideal is a deformation retract of the semigroup and so is homotopically equivalent to the semigroup. In Theorem 2 it is proved that a Q-semigroup is weakly homotopically equivalent to its minimal ideal.
Received: 27.12.1967
English version:
Mathematical Notes, 1970, Volume 8, Issue 6, Pages 872–876
DOI: https://doi.org/10.1007/BF01673686
Bibliographic databases:
Document Type: Article
UDC: 513.83
Language: Russian
Citation: A. M. Skryago, “The homotopic type of certain compact semigroups”, Mat. Zametki, 8:6 (1970), 711–719; Math. Notes, 8:6 (1970), 872–876
Citation in format AMSBIB
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\by A.~M.~Skryago
\paper The homotopic type of certain compact semigroups
\jour Mat. Zametki
\yr 1970
\vol 8
\issue 6
\pages 711--719
\mathnet{http://mi.mathnet.ru/mzm9621}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=299716}
\zmath{https://zbmath.org/?q=an:0211.04301|0217.36703}
\transl
\jour Math. Notes
\yr 1970
\vol 8
\issue 6
\pages 872--876
\crossref{https://doi.org/10.1007/BF01673686}
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