12 citations · 22 across the 21 of their papers we have counts for
8 papers · 1 filter
Digging into the classes of -Corson compact spaces
Witold Marciszewski, Grzegorz Plebanek, Krzysztof Zakrzewski
For any cardinal number and an index set , -product of real lines consists of elements of having nonzero coordinates. A compact space is -Co…
Musing on Kunen's compact -space
Grzegorz Plebanek
We present a connected version of the compact -space constructed by Kenneth Kunen under CH. We show that this provides a Corson compact space such that the Banach space $C(K…
On fragmentable compact lines
Antonio Avilés, Gonzalo Martínez-Cervantes, Grzegorz Plebanek +1
We prove that if a compact line is fragmentable, then it is a Radon-Nikodým compact space.
Mardešić conjecture and free products of Boolean algebras
Gonzalo Martínez-Cervantes, Grzegorz Plebanek
We show that for every , if are linearly ordered compact spaces and there is a continuous surjection \[ L_1\times L_2\times \dots\times L_d\to K_1\times K…
On disconnected images of connected spaces
Antonio Avilés, Grzegorz Plebanek
We introduce the notion that a zero-dimensional compact space is a \emph{Boolean image} of an arbitrary compact space . When is also zero-dimensional, this just means th…
On properties of compacta that do not reflect in small continuous images
Menachem Magidor, Grzegorz Plebanek
Assuming that there is a stationary set in of ordinals of countable cofinality that does not reflect, we prove that there exists a compact space which is not Corson compact…