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seen Dec 16 at 15:26

Jul
2
awarded  Curious
Mar
11
awarded  Yearling
Nov
8
awarded  Popular Question
Sep
25
accepted Looking for a $\mathcal{C}^{\infty} (\mathbb{R})$
Sep
25
comment Looking for a $\mathcal{C}^{\infty} (\mathbb{R})$
By the way, thank you for help me.
Sep
25
comment Looking for a $\mathcal{C}^{\infty} (\mathbb{R})$
Your construction below really works and it is less complicated. But the function that I looking , not need be analytic, only need be infinitely differentiable. Is the function that I found infinitely differentiable?
Sep
25
comment Looking for a $\mathcal{C}^{\infty} (\mathbb{R})$
I'm not seeing this. Why does you say that?
Sep
25
answered Use the ε-δ definition of a limit to prove this.
Sep
25
asked Looking for a $\mathcal{C}^{\infty} (\mathbb{R})$
Aug
26
comment $\mathbb{R}_{S}$ = (Sorgenfrey line) is a Baire Space
You are right. The Sorgenfrey line is $\mathbb{R}$ with the topology generated by the following set $\mathcal{B} = \{[a,b); a<b, a,b \in \mathbb{R}\}$.
Aug
26
asked $\mathbb{R}_{S}$ = (Sorgenfrey line) is a Baire Space
Aug
23
accepted Continuous function and normal topological space
Aug
23
asked Continuous function and normal topological space
Jun
12
revised Locally Lipschitz and polynomial map
added 7 characters in body
Jun
12
asked Locally Lipschitz and polynomial map
May
23
comment Prove that a map is Injective
@GerryMyerson tanks for your help. Maybe I need be more specific: I don't know any identite that helps to solve this. I tried all identities that I found, include Wolfram, handbooks, etc.
May
23
comment Prove that a map is Injective
No. I tried everything but nothing solve this.
May
23
asked Prove that a map is Injective
May
20
comment Prolate spheroidal coordinates
Bijection differentiable with its inverse differentiable. In this case $$\varphi: (0,\infty)\times (0,\pi)\times (0,2\pi) \to \mathbb{R}^3 \backslash \text{plane xz}$$. I was tried to prove using the fact that a composition of diffeomorphism is a diffeomorphism.
May
20
asked Prolate spheroidal coordinates