Affiliation:
1. Department of Mathematics, American University of Beirut, Beirut, Lebanon
Abstract
It is shown that the big free group (the set of countably-long words over a countable alphabet) is almost free, in the sense that any function from the alphabet to a compact topological group factors through a homomorphism. This statement is in fact a simple corollary of the more general result proven below on the extendability of homomorphisms from subgroups (of a certain kind) of the big free group to a compact topological group.
Publisher
World Scientific Pub Co Pte Lt
Cited by
1 articles.
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