The schoenflies extension in the analytic case

Summary Let S be an (n−1)-sphere in a euclidean n-space E. Let B be the closed n-ball in E bounded by S. Let z be an arbitrary point of . A real analytic diffeomorphism f of S into E admits a homeomorphic extension F which is defined over some open neighborhood N of B and such that F | (N−z) is an analytic diffeomorphism. We give a new proof of this theorem to serve as a model for a forthcoming theory of analytic families of such extensions. To Enrico Bompiani on his scientific Jubilee.     

Bimeasures and their integral extensions

Summary The object of this paper is to motivate three papers byM. Morse andW. Transue, which will presently appear, where the Authors will lay the foundations of a general theory of C-bimeasures and their integral extensions. To Mauro Picone on his 70^th birth day.     

Divergent regioselectivity in photoredox-catalyzed hydrofunctionalization reactions of unsaturated amides and thioamides

A direct method to construct 2-oxazolines and 2-thiazolines from corresponding allylic amides and thioamides is reported. The redox-neutral intramolecular hydrofunctionalization is enabled by a dual catalyst system comprised of 9-mesityl-N-methyl acridinium tetrafluoroborate and phenyl disulphide and exhibits complete selectivity for the anti-Markovnikov regioisomeric products. The cyclization of allylic thioamides is postulated to operate via a modified mechanism in which oxidation of the thioamide, rather than the alkene, is responsible for the observed reactivity.     

Trace determination of nickel by combining paper chromatography with radiometric precipitation

Summary A technique combining Chromatographic separation with radiometric precipitation is described in which nickel is determined at theg to submicrogram range. An appropriate solvent completely isolates nickel from interference on a Chromatographic strip. Nickel is then precipitated as the³⁵S labeled nickel sulfide. Quantitative yields are obtained using radioautography and radiometry.

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Zusammenfassung Ein Verfahren der chromatographischen Trennung und radiometrischen Fällung zur Bestimmung von Nickel in der Größenordnung von Mikrogramm bis Submikrogramm wurde beschrieben. Mit einem geeigneten Lösungsmittel wird Nickel vollständig von allen störenden Faktoren auf einem Chromatogrammstreifen isoliert und dann als Ni³⁵S gefällt. Durch Radioautographie und Radiometrie erhält man quantitative Ergebnisse.