拓扑线性空间与Euclid空间的线性同胚性

Linear homeomophism of topological linear space and Euclid space

应用拓扑线性空间中局部基构造的方法,利用有界集的性质和Euclid空间的特点,对拓扑线性空间附加了一些条件,证明了拓扑线性空间与Euclid空间是线性同胚的.

This work applied topological linear space in base construction method using the properties of bounded sets,and characteristics of Euclid space.Some conditions were attached to the topological linear space to prove topological linear space and Euclid space was linear homeomorphism.