Geodesic
The homotopic type of certain compact semigroups
Matematičeskie zametki, Tome 8 (1970) no. 6, pp. 711-719.

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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. 
@article{MZM_1970_8_6_a3,
     author = {A. M. Skryago},
     title = {The homotopic type of certain compact semigroups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {711--719},
     publisher = {mathdoc},
     volume = {8},
     number = {6},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1970_8_6_a3/}
}
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A. M. Skryago. The homotopic type of certain compact semigroups. Matematičeskie zametki, Tome 8 (1970) no. 6, pp. 711-719. http://geodesic.mathdoc.fr/item/MZM_1970_8_6_a3/