4 papers
math.MG2025
The Moduli Stack of Compact Metric Spaces
Tomoki Yuji
In this paper, we introduce a Grothendieck topology on the category of totally bounded metric spaces and develop a theory of stacks with respect to this topology. We further define…
math.GN2024
On Functorial Lindelöfifiability
Tomoki Yuji
In the present paper, we prove that a topological space admits a functorial Lindelöfification if and only if its realcompactification is Lindelöf. To investigate the functorial Lin…
math.AG2022
Category-theoretic Reconstruction of Log Schemes from Categories of Reduced fs Log Schemes
Tomoki Yuji
Let be a locally Noetherian fs log scheme and a set of properties of fs log schemes over . In the present paper, we shall mainly be co…
math.AG2022
Category-Theoretic Reconstruction of Schemes from Categories of Reduced Schemes
Tomoki Yuji
Let be a locally Noetherian normal scheme and a set of properties of -schemes. Then we shall write Sch for the full subcategory of the…