March 2022
Maciej Korpalski: Continuous discrete extension of double arrow spaces
27/03/22 21:03
Tuesday, March 29, 2022 17:00
Location: room 605, Mathematical Institute, University of Wroclaw
Speaker: Maciej Korpalski
Title: Continuous discrete extension of double arrow spaces
Abstract: Double arrow space is a separable linearly ordered compact space. By adding a discrete countable set in a special way we can extend those spaces so that extension is still compact. We will talk about some properties of those extensions and see counterexamples to them.
Location: room 605, Mathematical Institute, University of Wroclaw
Speaker: Maciej Korpalski
Title: Continuous discrete extension of double arrow spaces
Abstract: Double arrow space is a separable linearly ordered compact space. By adding a discrete countable set in a special way we can extend those spaces so that extension is still compact. We will talk about some properties of those extensions and see counterexamples to them.
Szymon Żeberski: Remarks on Eggleston theorem
21/03/22 14:54
Tuesday, March 22, 2022 17:00
Location: room 605, Mathematical Institute, University of Wroclaw
Speaker: Szymon Żeberski
Title: Remarks on Eggleston theorem
Abstract: We will discuss possible variants and generalizations of Eggleston theorem about inscribing big rectangles into big subsets of the plane. We will focus mainly on product of two Cantor spaces and comeager sets.
Location: room 605, Mathematical Institute, University of Wroclaw
Speaker: Szymon Żeberski
Title: Remarks on Eggleston theorem
Abstract: We will discuss possible variants and generalizations of Eggleston theorem about inscribing big rectangles into big subsets of the plane. We will focus mainly on product of two Cantor spaces and comeager sets.
Robert Rałowski: On \(T_1\)- and \(T_2\)-productable compact spaces
13/03/22 18:05
Tuesday, March 15, 2022 17:00
Location: room 605, Mathematical Institute, University of Wroclaw
Speaker: Robert Rałowski
Title: On \(T_1\)- and \(T_2\)-productable compact spaces
Abstract: We prove that if there exists a continuous surjection from a metric compact space \(X\) onto a product \(X\times T\) where \(T\) is a \(T_1\) second countable topological space which has the cardinality of the continuum then there exists a surjection from \(X\) onto the product \(X\times [0, 1]\) where the interval \([0, 1]\) is equipped with the usual Euclidean topology.
Location: room 605, Mathematical Institute, University of Wroclaw
Speaker: Robert Rałowski
Title: On \(T_1\)- and \(T_2\)-productable compact spaces
Abstract: We prove that if there exists a continuous surjection from a metric compact space \(X\) onto a product \(X\times T\) where \(T\) is a \(T_1\) second countable topological space which has the cardinality of the continuum then there exists a surjection from \(X\) onto the product \(X\times [0, 1]\) where the interval \([0, 1]\) is equipped with the usual Euclidean topology.