Topology Seminar
—
filed under:
Seminar
Pi-Metrizable Spaces, by Derrick Stover (Ohio University, Mathematics)
| What | Seminar |
|---|---|
| When |
Feb 14, 2008 from 04:10 pm to 05:00 pm |
| Where | 318 Morton Hall |
| Contact Name | Derrick Stover |
| Contact Email | stover@math.ohiou.edu |
| Contact Phone | 740-593-1264 |
| Add event to calendar |
vCal
iCal
|
Abstract: We say that a topological space is pi-metrizable if it has a
sigma-discrete pi-base and that it is weakly pi-metrizable if it has a
sigma disjoint pi-base. I will share some of my work on this topic as it
relates to products, mappings, dense subspaces, groups, remainders and the
Baire property. In particular I will find a representation for each space
as the image of a pi-metrizable space under an open mapping (and as a
weakly pi metrizable space under an open perfect mapping), examine the
question of when some power of a space is pi-metrizable and look at which
properties of metrizable spaces can be generalized to (weakly)
pi-metrizable spaces.
