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Timeline for Oscillation operator of a function

Current License: CC BY-SA 4.0

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Dec 26, 2018 at 15:14 vote accept James Baxter
Dec 15, 2018 at 12:53 comment added Dave L Renfro it was not sufficiently well known to avoid rediscovery, which Donald C. Benson did in 1960. In recent years there has been some research done on certain properties of the oscillation function --- see the references at the end of my answer to Oscillation of a Function.
Dec 15, 2018 at 12:44 comment added Dave L Renfro This was essentially proved by Sierpinski in 1910 (reprinted on pp. 42-43 of Volume 2 of his Oeuvres Choisies), then generalized by Henry Blumberg 1 2 3 to cases in which the oscillation is computed by allowing for the neglect of countable, measure zero, and first category sets. Although the result appears in a few books (e.g. Hahn's 1921 treatise on real functions) and papers, (continued)
S Dec 14, 2018 at 23:19 history suggested Amir Sagiv CC BY-SA 4.0
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Dec 14, 2018 at 21:14 review Suggested edits
S Dec 14, 2018 at 23:19
Dec 14, 2018 at 15:12 answer added Fedor Petrov timeline score: 3
S Dec 13, 2018 at 13:58 history suggested nonuser CC BY-SA 4.0
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Dec 13, 2018 at 13:58 review Suggested edits
S Dec 13, 2018 at 13:58
Dec 13, 2018 at 13:58 comment added James Baxter Here B_d (x) is the ball of radius d around x.
Dec 13, 2018 at 13:55 review First posts
Dec 13, 2018 at 14:06
Dec 13, 2018 at 13:51 history asked James Baxter CC BY-SA 4.0