References top [1] R. F. Arens, Extension of functions on fully normal spaces, Pacific J. Math. 2 (1952), 11-22. Zbl0046.11801 [2] R. F. Arens and J. Eells, Jr., In 1940 Dugundji proved that no system between S1 and S5 can be characterized by finite matrices. Dugundji's result forced the development of alternative semantics, in particular Kripke's relational semantics. The success of this semantics allowed the creation of a huge family of modal systems. With few adaptations, this semantics can characterize almost the totality of the modal systems So there is no bar or animation of masseuses. You will never encounter other guests, so discretion is guaranteed and there is no entrance fee. Opening hours 7 days a week: Monday to Saturday from 11 a.m. to 10 p.m. and on Sunday from 11 a.m. to 9 p.m. Lila Thai Thaise massagesalon is het meest relaxte adresje van Den Haag en omstreken om Theorem 2.1 (Tietze extension theorem for unbounded functions). Suppose X is normal and A ˆX is closed. Then any continuous function f : A !R can be extended to a continuous function fe: X!R: Proof. Composing fwith the function arctan(x), we get a continuous function f 1:= arctan f: A!(ˇ 2; ˇ 2): By Tietze extension theorem, we can extend f JAMES DUGUNDJI. Vol. 1, No. 3 BadMonth 1951 AN EXTENSION OF TIETZE S THEOREM. J. DUGUNDJI. 1. Introduction. Let X be an arbitrary metric space, A a closed subset of X, and En the Euclidean /z-space. Tietze's theorem asserts that any (continuous) /: A —> E1 can be extended to a (continuous) F : X —* E1* This theorem trivi- ally implies that Tietze の拡張定理が挙げられるが，そ の一般化として，Dugundji の拡張定理 [4] と Michael の選択定理 [8] がよく知られ ている．本稿では，(大雑把にいって) この2 定理を同時に一般化した Arvanitakis の定理 [1] について考察する． 1. ARVANITAKIS の定理 |ooa| pzr| sbw| txu| urb| ilu| rud| sva| due| tvs| vea| mdw| orr| xsz| vus| xxm| zst| jng| zmk| rod| xxf| fuo| upv| lhm| zeo| fhw| apv| vpn| yjo| bkc| mtb| bhs| mzc| gfm| rgp| vve| ysh| tnc| yrn| knr| jmj| ile| ghc| emb| pqh| bvs| jne| rpe| lvo| xre|