Ephemeral modules and Scott sheaves on a continuous poset
Abstract
By utilizing domain theory, we generalize the notion of an ephemeral module to the so-called continuous posets. We investigate the quotient category of persistence modules by the Serre subcategory of ephemeral modules and show that it is equivalent to the category of sheaves on the Scott topology. Furthermore, we study the metric properties of persistence modules via this equivalence.
Fields of Study & Subjects
Mathematics and Applications
Publication details
- Journal / source
- Journal of Pure and Applied Algebra
- Volume
- 230
- Issue
- 6
- Pages
- 108280–108280
- Publication date
- 30 April 2026
- Language
- EN