4 papers
Open cell property in weakly o-minimal structures
Tomohiro Kawakami, Hiroshi Tanaka
Every bounded definable open set is a union of finitely many open strong cells in a weakly o-minimal expansion of a real closed field. We prove this fact and another theorem simila…
Morse theory in definably complete d-minimal structures
Masato Fujita, Tomohiro Kawakami
Consider a definable complete d-minimal expansion of an oredered field . Let be a definably compact definably normal definable manifol…
-invariant definable Tietze extension theorem
Masato Fujita, Tomohiro Kawakami
A -invariant version of definable Tietze extension theorem for definably complete structures is proved when a definably compact definable topological group acts definably an…
Approximation and zero set of definable functions in a definably complete locally o-minimal structure
Masato Fujita, Tomohiro Kawakami
We consider a definably complete locally o-minimal expansion of an ordered field. We treat two topics in this paper. The first topic is a definable approximation of…