一致收敛拓扑

拓扑度理论的公理体系，已在1973年由Aman和Weiss给出，空间C（X，X）取一致收敛拓扑。

The axiomatic scheme of topological degree theory was given by Aman and Weiss in 1973 . Space C ( X , X ), which denotes a space of all continuous functions from Banach space X into X , has the topology of uniform convergence .

S连续集值映射空间中的星点态收敛拓扑和星一致收敛拓扑

The Topology of Star Point-wise Convergence and the Topology of Star Uniform convergence in the Space of S-continuity Set-value Mapping

众所周知，在连续函数所组成的集族上赋予点态收敛拓扑、紧开拓扑或者一致收敛拓扑来研究连续函数空间是经典的方法。

It is well known that the classical method to study a space of continous functions is they are endowed with the uniformly converging topology , compact-open topology or the topology of pointwise convergence .