|
(Last updated : 2022-12-09 16:58:36)
Abe Yoshihiro
Kanagawa University
Faculty of Science Department of Science
Kanagawa University Graduate School
Graduate School of Science Course of Science (Field of Mathematics)
Professor
|
|
■ Present specialized field
|
Set Theory (Key Word：Set Theory)
|
|
■ Book and Papers
|
1.
|
Book
|
large cardinals
(Collaboration)
2007/03
|
|
2.
|
Papers
|
Structural properties of ideals over Pκλ I
(Single)
2015/07
|
|
■ Academic conference presentation
|
1.
|
2019/09/19
|
A condition for an ideal to be a P-point
|
|
2.
|
2016/09/17
|
The extent of the ideals over Pκλ under the bounded ideal in the Rudin-Keisler ordering
|
|
3.
|
2015/09/15
|
How to define the isocoherence for ideals over Pκλ
|
|
4.
|
1993/09
|
Saturation of fundamental ideals on Pκλ
|
|
5.
|
1986/09
|
Filter over Pκλ and unbounded subsets
|
|
■ Belonging society
|
1.
|
1997/09～
|
Association for Symbolic Logic
|
|
2.
|
1998/04～
|
American Mathematical Society
|
|
■ Research topic, funded research, and department laboratory expense
|
1.
|
2018/04～2021/03
|
Structural properties of ideals over Pκλ and infinitary combinatorics
|
|
2.
|
2015/04～2018/03
|
Structural properties of ideals over Pκλ
|
|
3.
|
2005/04～2007/03
|
Applications of ideals to Godel's program
|
|
4.
|
2004/04～2007/03
|
Set theoritic approach to measure theory
|
|
5.
|
2002～2004
|
Compact cardinals and GCH
(Key Word : compact cardinals,GCH)
|
|
6.
|
2002～2004
|
The number of ultrafilters on a compact cardinal
(Key Word : Compact cardinals,normal ultrafilter)
|
|
5 display
|
|
All display(6)
|
|
■ Lecturer and lecture
|
1.
|
2014/11
|
Structural properties of ideals over Pκλ (Kobe University)
|
|
