论文标题
单数图
Cobordisms of singular maps
论文作者
论文摘要
A.szűcs和U. Koschorke在1980年左右引入了单一地图的唯一图的概念。作为一种应用，SZűCS使用它来计算浸入式和嵌入经典理论没有成功的维度的融合群。他研究奇异图的COBORDISM群体的方法涉及对他建造的分类空间的调查，首先是在一些特殊情况下，然后在Rimányi的工作中，完全普遍存在。从那时起，在该理论中进行了很多结果和（部分）计算。本论文收集并组织了SZűCS，Terpai和其他合着者的这些结果，以计算单数图的COBORDISM群体。
The notion of cobordism of singular maps was introduced around 1980 by A. Szűcs and U. Koschorke independently. As an application, Szűcs used it to compute cobordism groups of immersions and embeddings in dimensions where the classical theory did not succeed. His method of studying cobordism groups of singular maps involves the investigation of classifying spaces that were constructed by him, first in a few special cases, then, with the help of the work of Rimányi, in complete generality. Since then quite a few results and (partial) computations were performed in this theory. The present thesis collects and organises these results of Szűcs, Terpai and other coauthors towards and on the computation of cobordism groups of singular maps.
