Timeline for Topologies in the vicinity of Euclidean space

13 events

when toggle format	what		by	license	comment
Oct 2, 2022 at 9:32	history	edited	dennis	CC BY-SA 4.0	deleted 13 characters in body
Oct 2, 2022 at 9:21	history	edited	dennis	CC BY-SA 4.0	added 13 characters in body
Oct 2, 2022 at 9:11	history	edited	dennis	CC BY-SA 4.0	edited tags
Oct 2, 2022 at 9:04	history	edited	dennis		edited tags
Oct 2, 2022 at 8:56	comment	added	dennis		@ViditNanda Edited.
Oct 2, 2022 at 8:52	history	edited	dennis	CC BY-SA 4.0	added 28 characters in body
Oct 2, 2022 at 4:22	comment	added	Wlod AA		@ViditNanda -- horrible :) ##### you have your way with words, nice!
Oct 1, 2022 at 21:43	comment	added	Vidit Nanda		It is not true that $f^{-1}(0)$ is a smooth manifold unless $0$ is a regular value of $f$. Take any closed subset $C \subset \mathbb{R}^n$ and let $f:\mathbb{R}^n \to \mathbb{R}$ be the (smooth!) function sending $x$ to the squared Euclidean distance from $x$ to $C$. Then $C = f^{-1}(0)$ even though $C$ could be a horrible Cantor set.
Oct 1, 2022 at 20:55	history	edited	dennis	CC BY-SA 4.0	added 28 characters in body
Oct 1, 2022 at 20:50	answer	added	Piotr Hajlasz		timeline score: 3
Oct 1, 2022 at 20:13	history	edited	dennis	CC BY-SA 4.0	added 2 characters in body
Oct 1, 2022 at 20:07	history	edited	dennis	CC BY-SA 4.0	deleted 11 characters in body
Oct 1, 2022 at 20:02	history	asked	dennis	CC BY-SA 4.0