Nested defining sequences and 1 dimensionality of decomposition elements

作者：Daverman Robert J^*; Gu Shijie

来源：Topology and Its Applications, 2017, 227: 59-63.

DOI：10.1016/j.topol.2017.01.018

• Cell-like decomposition
• Defining sequence
• Nested defining sequence
• Generalized manifold
• Singular set
• Totally wild flow

It is shown that every cell-like, upper semicontinuous decomposition of an n-manifold, n not equal 4, that arises from a nested defining sequence can be replaced by a new cell-like decomposition, with the same quotient space and with elements of dimension at most one.

• 出版日期2017-8-15