光滑与F-光滑系统
Smooth and F--smooth systems
摘要：
本文综述了\emp{smooth systems of smooth maps}的几何理论、光滑二重连通流形的\emp{smooth systems of smooth sections}的几何理论和光滑二重连通流形的\emp{smooth systems of smooth connections}的几何理论。此外，在回顾了A. Frölicher，我们讨论了光滑双连通流形的\emp{F-smooth systems of smooth maps}，\emp{F-smooth systems of fibrewisely smooth sections}，光滑双连通流形的\emp{F-smooth systems of fibrewisely smooth connections}和纤维光滑截面的F-光滑系统的\emp{F-smooth connections}.
英文摘要：
We review the geometric theory of \emp{smooth systems of smooth maps}, of \emp{smooth systems of smooth sections} of a smooth double fibred manifold and of \emp{smooth systems of smooth connections} of a smooth fibred manifold. Moreover, after reviewing the concept of \emp{F-smooth space} due to A. Frölicher, we discuss the \emp{F-smooth systems of smooth maps}, the \emp{F-smooth systems of fibrewisely smooth sections} of a smooth double fibred manifold, the \emp{F-smooth systems of fibrewisely smooth connections} of a smooth fibred manifold and of \emp{F-smooth connections} of an F-smooth system of fibrewisely smooth sections.
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