Steenrod逼近定理的推广
A Generalisation of Steenrod's Approximation Theorem
摘要：
在本文中，我们的目标是推广的Steenrod逼近定理，关于光滑局部平凡丛的部分光滑程序。推广是，我们考虑局部平凡光滑丛可能是无限维的典型纤维。主要结果表明，一个连续的部分，在一个光滑的局部平凡丛总是可以顺利地在一个非常可控的方式（在空间上的图形拓扑连续函数），保持部分的区域，它已经是光滑的。
英文摘要：
In this paper we aim for a generalisation of the Steenrod Approximation Theorem from, concerning a smoothing procedure for sections in smooth locally trivial bundles. The generalisation is that we consider locally trivial smooth bundles with a possibly infinite-dimensional typical fibre. The main result states that a continuous section in a smooth locally trivial bundles can always be smoothed out in a very controlled way (in terms of the graph topology on spaces of continuous functions), preserving the section on regions where it is already smooth.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
