A characterization of a class of semigroups.
A characterization of the arc by means of the C-index of itssemigroup.
A class of semigroups having almost trivial multiplications.
A coarse convergence group need not be precompact
A completion functor for Cauchy groups.
A construction of compact right topological semigroups from compact groups.
A construction principle and compact Clifford semigroups.
A constructive “Closed subgroup theorem” for localic groups and groupoids
A countably cellular topological group all of whose countable subsets are closed need not be -factorizable
We construct a Hausdorff topological group such that is a precalibre of (hence, has countable cellularity), all countable subsets of are closed and -embedded in , but is not -factorizable. This solves Problem 8.6.3 from the book “Topological Groups and Related Structures" (2008) in the negative.
A dense subsemigroup of S(R) generated by two elements
A density property of the tori and duality
A direct description of uniform completion in locales and a characterization of -groups
A Dowker group
A duality theorem for standard threads
A generalization of the diagonal theorem on a block-matrix
A Generalized Orlicz-Pettis Theorem and Applications.
A Geometric Approach to the Bohr Compactification of Cones.
A groupoid formulation of the Baire Category Theorem
We prove that the Baire Category Theorem is equivalent to the following: Let G be a topological groupoid such that the unit space is a complete metric space, and there is a countable cover of G by neighbourhood bisections. If G is effective, then G is topologically principal.
A Large Bi-Invariant Nuclear Function Space on a Locally Compact Group.
A Lebesgue decomposition for elements in a topological group.