On isomorphisms of free paratopological groups and free homogeneous spaces. I. (Ukrainian. English summary) Zbl 1164.22309
Summary: In the paper we consider an isomorphic classification of the free (abelian) paratopological groups and free homogeneous spaces. We give methods for constructing examples of nonhomeomorphic spaces with topologically isomorphic free (abelian) paratopological groups and free homogeneous spaces. We propose methods for constructing examples of \(M_p\)-equivalent mappings.
MSC:
22A30 | Other topological algebraic systems and their representations |