منابع مشابه
Cyclic Invariance under Multi-valued Maps
When ƒ is single-valued we know that continuity is equivalent to the assertion that A, B closed imply f (A), f~(B) closed. When ƒ is multi-valued we take this as a definition of continuity. I t does not follow, as in the single-valued case, that f~~(B) is open if B is open. These definitions include both a single-valued map ( = continuous function) and its inverse. In this note we show that cer...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1949
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1949-09299-6