Inverse Limit of Spaces of Upper Semicontinuous Functions |
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| Authors: | ZHANG De xue |
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| Affiliation: | DepartmentofMathematies,SichuanUnirersity,Chengdu,610064 |
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| Abstract: | Given a compact Hausdorff space X, U( X ) denotes the compact Hausdorff space of all theupper semicontinuous functions from X to the trait interval with the dual lim-inf topology. Then U is an endofunetor on compact Hausdorff space. It is proved in tiffs note that this funetor preserves inverse limits. |
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| Keywords: | upper semicontinuous function continuous lattice lim inf convergence inverse limit |
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