参数化拓扑欧拉示性数与Reidemeister挠率的可加性
Additivity for parametrized topological Euler characteristic and Reidemeister torsion
摘要：
Dwyer，Weiss和Williams最近定义了参数化拓扑欧拉示性数和参数化拓扑Reidemeister挠率的概念，它们是紧致拓扑流形丛的不变量.我们证明了这些不变量满足与有限CW-复形的经典欧拉示性数和Reidemeister挠的可加性性质相平行的可加性公式。
英文摘要：
Dwyer, Weiss, and Williams have recently defined the notions of parametrized topological Euler characteristic and parametrized topological Reidemeister torsion which are invariants of bundles of compact topological manifolds. We show that these invariants satisfy additivity formulas paralleling the additive properties of the classical Euler characteristic and Reidemeister torsion of finite CW-complexes.
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