10 October 2006

2:30 - 4:00   M Barr

Productively Lindelof spaces

Abstract: A space is productively Lindelof (PL) if its product with
any Lindelof space is Lindelof.  Although every subspace of a
Euclidean space is Lindelof, the space of irrational numbers is not
PL.  K. Alster discovered a condition that is sufficient (and perhaps
necessary) for a space to be PL.  We explore a number of conditions
that imply Alster's condition.  We had rediscovered this condition in
connection with or studies of absolute CR-epic spaces.   

This is joint work with J. Kennison and R. Raphael.