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(Last updated : 2024-11-13 14:23:46)
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
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■ Present specialized field
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Set Theory (Key Word：Set Theory)
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■ Book and Papers
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1.
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Book
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large cardinals
(Collaboration)
2007/03
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2.
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Papers
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Structural properties of ideals over Pκλ II
(Single)
2024/03
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3.
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Papers
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Structural properties of ideals over Pκλ I
(Single)
2015/07
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■ Academic conference presentation
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1.
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2019/09/19
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A condition for an ideal to be a P-point
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2.
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2016/09/17
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The extent of the ideals over Pκλ under the bounded ideal in the Rudin-Keisler ordering
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3.
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2015/09/15
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How to define the isocoherence for ideals over Pκλ
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4.
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1993/09
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Saturation of fundamental ideals on Pκλ
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5.
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1986/09
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Filter over Pκλ and unbounded subsets
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■ Belonging society
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1.
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1997/09～
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Association for Symbolic Logic
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2.
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1998/04～
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American Mathematical Society
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■ Research topic, funded research, and department laboratory expense
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1.
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2018/04～2021/03
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Structural properties of ideals over Pκλ and infinitary combinatorics
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2.
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2015/04～2018/03
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Structural properties of ideals over Pκλ
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3.
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2005/04～2007/03
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Applications of ideals to Godel's program
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4.
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2004/04～2007/03
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Set theoritic approach to measure theory
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5.
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2002～2004
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Compact cardinals and GCH
(Key Word : compact cardinals,GCH)
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6.
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2002～2004
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The number of ultrafilters on a compact cardinal
(Key Word : Compact cardinals,normal ultrafilter)
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5 display
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All display(6)
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■ Lecturer and lecture
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1.
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2014/11
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Structural properties of ideals over Pκλ (Kobe University)
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