Timeline for Perturbation of a smooth manifold and transversality
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
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| Jan 25, 2018 at 3:54 | history | edited | j.c. | CC BY-SA 3.0 |
fix typo in title
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| Jan 25, 2018 at 3:29 | history | edited | Pedro Lauridsen Ribeiro | CC BY-SA 3.0 |
Small grammer correction
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| Jan 24, 2018 at 20:05 | comment | added | Arnaud Mortier | In fact the good notion should be a notion of genericity between two maps $X\rightarrow Y$ that implies in particular that the set where the two maps agree is discrete, and the required property should be for $f$ here to be generic with respect to Id$_M$. | |
| Jan 24, 2018 at 14:22 | comment | added | user119986 | I am interesting in the transversality of $\tilde{N}$ and $f(\tilde{N})$ where $\tilde{N}$ is the perturbation of $N$. Not $f(\tilde{N})$ and $N$... | |
| Jan 24, 2018 at 14:19 | comment | added | PVAL | @Arnaud I think you misread the question. The OP asking if for a submanifold $N$, does there exist a deformation $N_d$ of $N$ with $f(N_d)$ transverse to $N_d$. This is clearly never exists for $f$ the identity unless dim N= dim M. | |
| Jan 24, 2018 at 14:01 | comment | added | Arnaud Mortier | Welcome to MO! "trivially it can not be done for the identity map"? I would rather say trivially it can be done with the identity map, you can make a submanifold transverse to itself with arbitrarily small deformations. | |
| Jan 24, 2018 at 13:59 | review | First posts | |||
| Jan 24, 2018 at 14:02 | |||||
| Jan 24, 2018 at 13:55 | history | asked | user119986 | CC BY-SA 3.0 |