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 $C_p(X)$.