3 citations · 3 across the 2 of their papers we have counts for
2 papers
math.CT2022
Limits, Colimits, and Spectra of Modelled Spaces
Hisashi Aratake
It is well-known that the construction of Zariski spectra of (commutative) rings yields a dual adjunction between the category of rings and the category of locally ringed spaces. T…
math.LO2020★ 3 cited
Sheaves of Structures, Heyting-Valued Structures, and a Generalization of Łoś's Theorem
Hisashi Aratake
Sheaves of structures are useful to give constructions in universal algebra and model theory. We can describe their logical behavior in terms of Heyting-valued structures. In this…