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Recovering Baire 1 functions
Author(s) -
Darji Udayan B.,
Evans Michael J.
Publication year - 1995
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300011335
Subject(s) - mathematics , baire space , baire category theorem , baire measure , separable space , complete metric space , countable set , metric space , simple (philosophy) , cosmic space , class (philosophy) , metric (unit) , space (punctuation) , compact space , discrete mathematics , pure mathematics , set (abstract data type) , mathematical analysis , operations management , linguistics , philosophy , epistemology , artificial intelligence , computer science , economics , programming language
Let X be a compact metric space and Y a separable metric space. Any Baire class one function from X to Y can be recovered from its values on a certain countable set via a simple algorithm.
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