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 $C_p(X)$.

 

Leave a Reply

Your email address will not be published. Required fields are marked *


Time limit is exhausted. Please reload CAPTCHA.