Topology and category for singular product spaces

Yusuke Hayashi, Tristan van der Vlugt

For $\hat{I}º$ a regular uncountable cardinal, the higher Baire and Cantor spaces ${}^{\hat{I}}º\hat{I}º$ and ${}^{\kappa }2$ (endowed with the $<\hat{I}º$-box topology) have been relatively well-studied, bu…