EN
CONTENTS
0. Motivation, results to be used in the sequel ................5
1. Slicing $L_α$'s ..........................................................10
2. Hereditarily countable, definable elements ................13
3. Spectrum of L.............................................................15
4. The width of elements of spectrum ............................19
5. Non-uniform strong definability ..................................26
6. Solution to a problem of Wilmers................................32
7. Supremum of spectrum of L........................................36
References.....................................................................38