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Timeline for Integral on level sets

Current License: CC BY-SA 4.0

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Oct 16 at 15:02 history bumped CommunityBot This question has answers that may be good or bad; the system has marked it active so that they can be reviewed.
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Jan 30, 2022 at 7:02 history edited Daniele Tampieri CC BY-SA 4.0
Minor Math Jaxing (used $\|\cdot\|$ instead of $||\cdot||$).
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Sep 1, 2021 at 21:55 answer added Pietro Majer timeline score: 0
Sep 1, 2021 at 20:46 history edited user140442 CC BY-SA 4.0
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Sep 1, 2021 at 19:11 history edited user140442 CC BY-SA 4.0
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Sep 1, 2021 at 19:10 comment added user140442 Yes $d n$ the $H^{d-1}$ measure
Sep 1, 2021 at 19:02 comment added Pietro Majer What is the measure? The Lebesgue $d$-dimensional? Or $\mathcal {H}^{d-1}$ maybe?
Sep 1, 2021 at 17:54 comment added user140442 Yes, I removed it
Sep 1, 2021 at 17:54 history edited user140442 CC BY-SA 4.0
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Sep 1, 2021 at 17:20 comment added user140442 Actually in my case $f = \nabla g_0$ so maybe this is true now ?
Sep 1, 2021 at 17:20 history edited user140442 CC BY-SA 4.0
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Sep 1, 2021 at 16:59 comment added Liviu Nicolaescu In the simplest case $f=1$, $n=1$ you are asking for the number of roots of the equation $g_\varepsilon=0$. This need not depend continuously on $\varepsilon$. If you allow $g_\varepsilon$ additional structure (subalgebraic, subanalytic) then you have a sort of generic continuity.
Sep 1, 2021 at 16:43 comment added Christian Remling This is false, try $g_{\epsilon}=\epsilon$, $\mu=0$.
Sep 1, 2021 at 16:26 history asked user140442 CC BY-SA 4.0