The following paper is inspired by Efimov’s problem – an undecided problem of whether there exists an infinite compact topological space that does not contain neither non-trivial convergent sequences nor a copy of βω. After introducing the basic topological concepts, we present several classes of topological spaces in which such sequences can certainly be found, namely ordered, scattered, metrisable spaces and Valdivia compacta. We show that some cardinal coefficients set limits on the smallest… Expand

We prove in particular that a continuous image of a Valdivia compact space is Corson provided it contains no homeomorphic copy of the ordinal segment [0, ω1]. This generalizes a result of R. Deville… Expand

This article deals with the coinitiality of topological spaces, a concept that generalizes the conality of a Boolean algebra as introduced by Koppelberg (7). The compact spaces of countable… Expand

In der vorliegenden Masterarbeit wird das Problem des separablen Quotienten fur lokal-konvexe Raume der Form Cp(X), welches immer noch ungelost ist, behandelt. Der Zusammenhang mit einem weiteren… Expand