Displaying similar documents to “Cancellative actions”

Co-Connected Spaces

Trnková, Vera (1998)

Serdica Mathematical Journal

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∗ Financial support of the Grant Agency of the Czech Republic under the grant no 201/96/0119 and of the Grant Agency of the Charles University under the grant GAUK 149 is gratefully acknowledged. Co-connected spaces, i.e. the spaces X for which any continuous map X^2 → X factors through a projection, are investigated. The main result: every free monoid is isomorphic to the monoid of all nonconstant continuous selfmaps of a metrizable co-connected space.

On presentations of Brauer-type monoids

Ganna Kudryavtseva, Volodymyr Mazorchuk (2006)

Open Mathematics

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We obtain presentations for the Brauer monoid, the partial analogue of the Brauer monoid, and for the greatest factorizable inverse submonoid of the dual symmetric inverse monoid. In all three cases we apply the same approach, based on the realization of all these monoids as Brauer-type monoids.