2021-07-31T21:20:26Zhttps://tsukuba.repo.nii.ac.jp/oaioai:tsukuba.repo.nii.ac.jp:000162512021-03-02T00:56:22ZThe minimal support for a continuous functional on a function space IIMorishita, KazuhikoLet Ck(X) be the function space with the compact-open topology over a Tychonoff space X and ξ a continuous real-valued function on Ck(X). A closed subset S of X is called a support for ξ if ξ(f)=ξ(g) holds for any pair (f, g) of functions in Ck(X) sucha that f[?]=g[?]. It is proved that the minimal support for any real-valued continuous function on the space Ck(X) exists.Institute of Mathematics, University of Tsukuba1992-12jpndepartmental bulletin paperhttp://hdl.handle.net/2241/7346https://tsukuba.repo.nii.ac.jp/records/1625103874982AA00874643Tsukuba journal of mathematics162495501https://tsukuba.repo.nii.ac.jp/record/16251/files/16.pdfapplication/pdf425.0 kB2013-12-19