Marston Morse and his mathematical works

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A Reduction of the Schoenflies Extension Problem by Marston Morse

1. In his study of the Schoenflies extension problem Mazur, [ l ] , includes the hypothesis that the given mapping be "semilinear" in a neighborhood of some point in the shell domain of <£. In Mazur's paper the problem of removing this hypothesis is unsolved. We shall show how to remove this hypothesis, leaving the "shell hypothesis." In the process of doing this we establish two fundamenta...

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ژورنال

عنوان ژورنال: Bulletin of the American Mathematical Society

سال: 1980

ISSN: 0273-0979

DOI: 10.1090/s0273-0979-1980-14824-7