Lefschetz integral in finite spaces and its applications
Abstract We develop an integration theory based on the inclusion–exclusion formula in finite spaces (posets). In particular, we focus on Lefschetz integral, which involves integration with respect to the Lefschetz number (trace), and explore its applications.
Authors
- Kohei Tanaka (ORCID: https://orcid.org/0000-0003-4721-6418)
Institutions
- Shinshu University (JP)
Publication Details
- Journal
- Journal of Fixed Point Theory and Applications
- Published
- 2025-05-23
- DOI
- https://doi.org/10.1007/s11784-025-01209-z
- Primary Topic
- Point processes and geometric inequalities
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Shinshu University
- Japan Society for the Promotion of Science