Slideshow Transcript

1. Slide 1: S EPARABLE S PACES K ILLING K ILLING S-S PACES AND G ETTING AWAY W ITH I T W EAKENINGS OF ♦ AND STRONG SEPARABILITY Erik A. Andrejko University of Wisconsin - Madison Mar 25 2008 E RIK A. A NDREJKO K ILLING S-S PACES AND G ETTING AWAY W ITH I T
2. Slide 2: S EPARABLE S PACES K ILLING S PACES D EFINITION A space X is called separable if it contains a countable dense subset. D EFINITION A space X is called right separated if it contains an uncountable subspace {xξ : ξ < ω1 } in which for each η < ω1 {xξ : ξ < η} is open E RIK A. A NDREJKO K ILLING S-S PACES AND G ETTING AWAY W ITH I T
3. Slide 3: S EPARABLE S PACES K ILLI