The following preprint is available: M. Grandis - G. Janelidze Galois theory of simplicial complexes Dip. Mat. Univ. Genova, Preprint 459 (2002), 9 p. Abstract We examine basic notions of categorical Galois theory for the adjunction (\Pi_0 -| discrete)means of the fundamental groupoid, for which we give an explicit "Galois-theoretic" description. The class of covering morphisms is a part of a factorization system similar to the (purely inseparable, separable) factorization system in classical Galois theory, which however fails to be the (monotone, light) factorization. http://www.dima.unige.it/~grandis/rec.public_grandis.html ftp://www.dima.unige.it/Home/grandis/public/GalSmc.pdf With best regards Marco Grandis Dipartimento di Matematica Universita' di Genova via Dodecaneso 35 16146 GENOVA, Italy e-mail: grandis@dima.unige.it tel: +39.010.353 6805 fax: +39.010.353 6752 http://www.dima.unige.it/~grandis/ ftp://www.dima.unige.it/Home/grandis/public/ 26-Sep-2002 11:31:24 -0300,1487;000000000000-00000000