17 citations · 55 across the 22 of their papers we have counts for
9 papers · 1 filter
Definable Tietze extension property in o-minimal expansion of ordered group
Masato Fujita
The following two assertions are equivalent for an o-minimal expansion of an ordered group . There exists a definable bijection between a bounded inter…
Functions definable in definably complete uniformly locally o-minimal structure of the second kind
Masato Fujita
We investigate continuous functions definable in a definably complete uniformly locally o-minimal expansion of the second kind of a densely linearly ordered abelian group (DCULOAS…
Quasi-quadratic modules in valuation ring and valued field
Masato Fujita, Masaru Kageyama
This is a revised version of the previous version with a new appendix consisting of characteristic two case. We define quasi-quadratic modules in a commutative ring generalizing th…
Whitehead group of the ring of smooth functions definable in an o-minimal structure
Masato Fujita
The Whitney group is isomorphic to for some subgroup , where is a commutative ring and deno…
Locally o-minimal structures with tame topological properties
Masato Fujita
We consider locally o-minimal structures possessing tame topological properties shared by models of DCTC and uniformly locally o-minimal expansions of the second kind of densely li…
Uniformly locally o-minimal open core
Masato Fujita
This paper discusses sufficient conditions for a definably complete densely linearly ordered expansion of an abelian group having the uniformly locally o-minimal open cores of the…