Lin Shen.CHARACTERISTIC FORMS OF TRANSFORMATIONS[J].Chinese Annals of Mathematics B,1984,5(3):319~324
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Authors:
Lin Shen;
Abstract:
In this paper. the author defines boundary preserving transformations and proves that they are homeomorphisms; defines interior preserving transformations and proves
that they usually are open imbedding; and defines the cocontinuous transformations,which have not been discussed in continuous, closed and open transformations. The
characteristic forms of transformations are most important in the discussion, and there are 17 cases for homeomorphism.
All spaces considered are connected $\[{T_1}\]$.