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.