Factors of with infinitely many bad points
Finite spaces and the universal bundle of a group
We find sufficient conditions for a cotriad of which the objects are locally trivial fibrations, in order that the push-out be a locally trivial fibration. As an application, the universal -bundle of a finite group , and the classifying space is modeled by locally finite spaces. In particular, if is finite, then the universal -bundle is the limit of an ascending chain of finite spaces. The bundle projection is a covering projection.
Four mapping problems of Maćkowiak
In his paper "Continuous mappings on continua" [5], T. Maćkowiak collected results concerning mappings on metric continua. These results are theorems, counterexamples, and unsolved problems and are listed in a series of tables at the ends of chapters. It is the purpose of the present paper to provide solutions (three proofs and one example) to four of those problems.