论文标题
紧凑型集的连续可区分功能
Continuously differentiable functions on compact sets
论文作者
论文摘要
我们考虑在欧几里得空间的紧凑子集上连续可区分的函数的空间。我们表征了该空间的完整性，并证明了在环境空间上连续可区分函数的限制空间始终是密集的。然后将空间与紧凑型集合的其他可区分函数的空间进行比较。
We consider the space of real-valued continuously differentiable functions on a compact subset of a euclidean space. We characterize the completeness of this space and prove that the space of restrictions of continuously differentiable functions on the ambient space is always dense. The space is then compared with other spaces of differentiable functions on compact sets.
