# Natasha May: A new class of spaces all finite powers Lindelof

1/March/2013, 13:30–15:00
Fields institute,Room 210

Speaker: Natasha May (York)

Title: A new class of spaces all finite powers Lindelof

Abstract: We consider a new class of open covers and classes of spaces defined from them, called $\iota$-spaces (“iota spaces”). We explore their relationship with $\epsilon$-spaces (that is, spaces having all finite powers Lindelof) A consistent example of a hereditarily $\epsilon$-space whose square is not hereditarily Lindel of is provided. Time permitting, we will also explore a potential duality between the $\iota$ covering property of $X$ and convergence properties of $C_p(X)$.