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Apr
12
answered Deformation retraction: special case of homotopy equivalence?
Apr
12
comment Deformation retraction: special case of homotopy equivalence?
Impossible because if $Im(id_X) \subset A$ then it's not the $id$ function. Oh. Just realised my mistake: I can still have a homotopy.... arrgh Now I'm annoyed with myself for making the same mistake for the $n$-th time. Thanks for your patience!
Apr
12
asked Deformation retraction: special case of homotopy equivalence?
Apr
11
accepted Proof of Urysohn's lemma — dyadic rationals
Apr
6
accepted Question about notation / terminology
Apr
6
asked Proof of Urysohn's lemma — dyadic rationals
Apr
4
comment Common algorithm with an order of Θ(2^n)
@Didier Piau: right, thanks!
Apr
4
answered Common algorithm with an order of Θ(2^n)
Apr
4
answered Confused about notation of $\sin^2 \theta$
Apr
4
answered where to go for help solving specific math problems
Apr
4
comment Show that $\mathbb{R}^2$ is not homeomorphic to $\mathbb{R}^2 \setminus\{(0,0)\}$
@Christian Blatter: I'm sorry but I think this doesn't answer my question satisfactorily. Could you give me a mathematically rigorous argument why it is not enough? To me arguing like I argued in my answer above is a proof by contradiction, so it seems rigorous to me.
Apr
4
comment Show that $\mathbb{R}^2$ is not homeomorphic to $\mathbb{R}^2 \setminus\{(0,0)\}$
@Christian Blatter: Many thanks for pointing this out. I'm a beginner in this subject, so may I ask: why is it not enough to argue that any homotopy would go through $(0,0)$?
Apr
4
comment casting out nines: division
why the down vote?
Apr
4
revised Show that $\mathbb{R}^2$ is not homeomorphic to $\mathbb{R}^2 \setminus\{(0,0)\}$
added 30 characters in body
Apr
4
answered Show that $\mathbb{R}^2$ is not homeomorphic to $\mathbb{R}^2 \setminus\{(0,0)\}$
Apr
3
accepted Superscript wedge on an $R$-module
Apr
3
comment Superscript wedge on an $R$-module
Thank you so much! I didn't know what to search for because I didn't know it was called 'dual'.
Apr
3
revised Superscript wedge on an $R$-module
edited body; added 12 characters in body
Apr
3
comment Superscript wedge on an $R$-module
@Qiaochu: sorry, that was a typo, it should've said page 3!
Apr
3
asked Superscript wedge on an $R$-module