17 citations · 55 across the 22 of their papers we have counts for
22 papers
Definable compactness in definably complete locally o-minimal structures
Masato Fujita
We demonstrate that Andújar Guerrero, Thomas and Walsberg's results on definable compactness in o-minimal structures still hold true in definably complete locally o-minimal structu…
Expansion of a semi-bounded o-minimal structure by a geometric progression
Masato Fujita
We demonstrate that an expansion of a semi-bounded o-minimal expansion of the ordered group of reals by an increasing geometric progression is locally o-minimal.
Definable quotients in locally o-minimal structures
Masato Fujita, Tomohiro Kawakami
Let be a definably complete locally o-minimal expansion of an ordered field. We demonstrate the existence of definable quotients of defin…
Tame extension of almost o-minimal structure
Masato Fujita
We consider an almost o-minimal expansion of an ordered group and its tame extension . We demonstrate that the subset $\{…
Notes on definably complete locally o-minimal expansions of ordered groups
Masato Fujita
We study definably complete locally o-minimal expansions of ordered groups in this paper. A definable continuous function defined on a closed, bounded and definable set behave like…
Pregeometry over locally o-minimal structure and dimension
Masato Fujita
We define a discrete closure operation for definably complete locally o-minimal structures . The pair of the underlying set of and the discrete closure ope…