伪流形的分层和非分层边界
Stratified and unstratified bordism of pseudomanifolds
摘要：
我们研究了基于伪流形和分层伪流形的边群和边同调论。本文的主要部分证明，当我们使用由局部链接性质确定的空间类时，分层和非分层边理论是相同的;这包括已知的伪流形边理论的例子，例如Witt空间和IP空间的边。一路上，我们涉及分层和分层的观点来描述各种（分层）pseudomanifold类。
英文摘要：
We study bordism groups and bordism homology theories based on pseudomanifolds and stratified pseudomanifolds. The main seam of the paper demonstrates that when we uses classes of spaces determined by local link properties, the stratified and unstratified bordism theories are identical; this includes the known examples of pseudomanifold bordism theories, such as bordism of Witt spaces and IP spaces. Along the way, we relate the stratified and unstratified points of view for describing various (stratified) pseudomanifold classes.
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