Properties of quasi-invariant measures on topological groups and associated algebras
P-sets and minimal right ideals in ℕ*
Recall that a P-set is a closed set X such that the intersection of countably many neighborhoods of X is again a neighborhood of X. We show that if 𝔱 = 𝔠 then there is a minimal right ideal of (βℕ,+) that is also a P-set. We also show that the existence of such P-sets implies the existence of P-points; in particular, it is consistent with ZFC that no minimal right ideal is a P-set. As an application of these results, we prove that it is both consistent with and independent of ZFC that the shift...
Pseudocompact refinements of compact group topologies.
Pseudodifferential analysis on continuous family groupoids.
Pseudometrics on Ext-semigroups
This paper considers certain pseudometric structures on Ext-semigroups and gives a unified characterization of several topologies on Ext-semigroups. It is demonstrated that these Ext-semigroups are complete topological semigroups. To this end, it is proved that a metric induces a pseudometric on a quotient space with respect to an equivalence relation if it has certain invariance. We give some properties of this pseudometric space and prove that the topology induced by the pseudometric coincides...
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.
Rationals as a non-trivial complete convergence group
Rationals with exotic convergences. II.
Recapturing semigroup compactifications of a group from those of its closed normal subgroups.
Rechtsdibrutive Quasigruppen auf 1-Mannigfaltigkeiten.
Rechtsdistributive Multiplikationen auf homogenen Räumen.
Rechtstopologische Halbgruppen.
Recurrent and weakly recurrent points in G.
Recurrent functions and semigroups.
Recursions with uniquely determined topologies