A continuous mapping on a sequential compact set that can be continuously extended to the boundary has the same properties as on a compact set.
可连续扩张到边界的连续映射在列紧集上具有若干与紧集上相同的性质。
By lattice-theoretic methods we give a necessary and sufficient condition for a continuous mapping with the codomain T_3 to be extended continuously from a dense subspace to the whole space.
本文采用格论方法研究拓扑学中连续映射的扩充问题,给出陪域为T_3空间时连续映射扩充的充要条件。
By lattice-theoretic methods we give a necessary and sufficient condition for a continuous mapping with the codomain T_3 to be extended continuously from a dense subspace to the whole space.
本文采用格论方法研究拓扑学中连续映射的扩充问题,给出陪域为T_3空间时连续映射扩充的充要条件。
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