I have to prove that a finite CW-complex of the type $\vee_kS^1_k\cup\lbrace e^2_j\rbrace_{j=1} ^l$ can be embedded in $\mathbb{R}^4$. Can you help me?
Embedding of a CW-complex
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$\begingroup$
algebraic-topology
cw-complexes
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1Might help: http://mathoverflow.net/questions/19618/when-does-a-cw-complex-of-dimension-2-embedd-in-r4 – 2017-02-11
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0Thanks for the link of the topic, but it doesn't help me! xD – 2017-02-11
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0But isn't that what you are asking? – 2017-02-11
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0Yes but there isn't a direct proof of the fact... – 2017-02-11
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0I'd say there is no proof at all there, only a reference to Stallings' paper. My suggestion is to read Stallings' paper and see if you can use his arguments. – 2017-02-13