A homomorphism from a completely metrizable topological group into a free product of groups whose image is not contained in a factor of the free product is shown to be continuous with respect to the discrete topology on the range. In particular, any completely metrizable group topology on a free product is discrete.
Dec 7, 2012 · A homomorphism from a completely metrizable topological group into a free product of groups whose image is not contained in a factor of the free product is ...
AUTOMATIC CONTINUITY FOR HOMOMORPHISMS INTO FREE PRODUCTS 1 289 theory. Automatic continuity implications of Alperin's work are summarized in the following ...
Introductionandbackground. The main concept of automatic continuity is to establish conditions on topological groups G and H under which a homomorphism.
Introductionandbackground. The main concept of automatic continuity is to establish conditions on topological groups G and H under which a homomorphism.
A homomorphism from a completely metrizable topological group into a free product of groups whose image is not contained in a factor of the free product is ...
A homomorphism from a completely metrizable topological group into a free product of groups whose image is not contained in a factor of the free product is ...
A homomorphism from a completely metrizable topological group into a free product of groups whose image is not contained in a factor of the free product is.
In fact as we shall see, no continuous Polish group can be normed. • The class of normed groups is closed under direct sums and free products. • contains ...
Jan 27, 2014 · We present a general framework for automatic continuity results for groups of isometries of metric spaces. In particular, we prove automatic ...