Orbifolds的度理论
Degree theory for orbifolds
摘要：
在[3] Borzellino和Brunsden开始制定一个小学微分拓扑理论orbifolds。在本文中，我们进行他们的项目定义的映射度orbifolds之间的适当的映射，计数的原像的正常值与适当的权重。我们表明，映射度满足预期的不变性的性质，假设该域没有一个余维一个奇异层。研究了映射度的性质，并给出了映射度的计算实例。
英文摘要：
In [3] Borzellino and Brunsden started to develop an elementary differential topology theory for orbifolds. In this paper we carry on their project by defining a mapping degree for proper maps between orbifolds, which counts preimages of regular values with appropriate weights. We show that the mapping degree satisfies the expected invariance properties, under the assumption that the domain does not have a codimension one singular stratum. We study properties of the mapping degree and compute the degree in some examples.
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