ON ISOMORPHISMS OF THE FREE PARATOPOLOGICAL GROUPS AND FREE HOMOGENEOUS SPACES I

Анотація

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.