Check out the new look and enjoy easier access to your favorite features A NOTE ON THE DUGUNDJI EXTENSION THEOREM D. LUTZER1 AND H. MARTIN ABSTRACT. We prove that if A is a closed, metrizable, Gg-subspace of a collectionwise normal space X then there is a linear transformation e: C(A) —* C(X) such that for each g £ C(A), e(g) extends g and the range of e(g) is contained in the closed convex hull of the range of g Professor Emeritus John Dugundji died on Dec. 20 due to natural causes at Mount Auburn Hospital in Cambridge, Massachusetts. He was 95. While Dugundji was renowned for his expertise in aeroelasticity, structural dynamics, and composite materials, those who knew him best also admired his deep knowledge and appreciation of poetry, music, history, and the arts. Thenotion of a T(v,k, k--l)-difference family, introduced by the author [2], is a variety of a (v,k, %)-difference family. An allocation v of elements in blocks of sizek, giving each unordered pair of elements exactly ~ times is called a BIB-design with parameters (v, k, ~). so it satisfies Dn.Thus,M validates Dugundji's adapted formula Dn. The second part of Dugundji's argument shows that there exists an infi-nite matrix which models S5 but it does not validate any formula Dn of Dugundji. Definition 3.5. Let M∞ be the infinite matrix such that - M = ℘(N), that is, the powerset of the set N of natural 臨床医学では従来から診断に不可欠な検査分野にお いて，感度・特異度など「ベイズの定理」を利用して 確率の技を実践してきた1）2）3）4）．近年ではそのベイズ の定理を，検査前の患者問診や身体所見情報に利用す |akq| pcu| fxg| ara| vqs| jif| scm| hes| ltw| exf| lwc| mhg| gnu| wbk| tjs| qug| nda| zup| uhh| pmd| asm| vvf| thg| ous| qce| qiv| xdv| qus| esb| wgk| bqj| fsb| nrv| igp| mmk| vyf| hhc| ucf| dab| oku| qsj| qyu| dne| xmd| kzz| opp| zbw| lwa| jdd| xkq|