Quasiminimal distal function space and its semigroup compactification.
Quotients of compact 0-dimensional semigroups and groupoids.
Quotients of k-semigroups.
Quotients of locally compact semigroups.
Quotients of Strongly Realcompact Groups
A topological group is strongly realcompact if it is topologically isomorphic to a closed subgroup of a product of separable metrizable groups. We show that if H is an invariant Čech-complete subgroup of an ω-narrow topological group G, then G is strongly realcompact if and only if G/H is strongly realcompact. Our proof of this result is based on a thorough study of the interaction between the P-modification of topological groups and the operation of taking quotient groups.
QUOTIENTS OF UNIFORM SEMIGROUPS.