复形的局部上同调模的torsion函子（英文）

摘要

证明了下有界复形的局部上同调模的torsion模属于Serre类，并且在某种情形下证明了复形的torsion模与局部上同调模的torsion模的同构式.作为此同构式的应用，我们用复形的局部上同调模表示了复形的Betti数.

关键词

局部上同调 / torsion函子 / Serre子范畴 / Betti数

基金资助

Natural Science Foundation of Gansu Province(23JRRA866); Higher Education Innovation Fund of Gansu Provincial Department of Education(2025A-132); University-level Scientific Research and Innovation Project of Gansu University of Political Science and Law(GZF2024XQN16); Youth Foundation of Lanzhou Jiaotong University(2023023)