Exercise 1.8.6 - Differential topology (Guillemin and Pollack)(2)











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The question and its answer is given below:




enter image description hereenter image description hereenter image description here




My Questions are:



1- The solution has proved that $p circ v^*$ is the identity on X and not $p circ v$, does not that mean that the vector field $v$^* satisfies the second definition and not the vector field v?



2- In the seventh line in the solution, I do not understand how he proved that $x = y$










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    I think it would be helpful if you reworded your 2nd and 3rd questions. I do not understand what you are asking.
    – Prototank
    Nov 15 at 18:36










  • Okay sorry I will @Prototank
    – Idonotknow
    Nov 18 at 16:45










  • @Prototank I have edited my question .... sorry for delaying.
    – Idonotknow
    Nov 20 at 15:07















up vote
-1
down vote

favorite












The question and its answer is given below:




enter image description hereenter image description hereenter image description here




My Questions are:



1- The solution has proved that $p circ v^*$ is the identity on X and not $p circ v$, does not that mean that the vector field $v$^* satisfies the second definition and not the vector field v?



2- In the seventh line in the solution, I do not understand how he proved that $x = y$










share|cite|improve this question




















  • 1




    I think it would be helpful if you reworded your 2nd and 3rd questions. I do not understand what you are asking.
    – Prototank
    Nov 15 at 18:36










  • Okay sorry I will @Prototank
    – Idonotknow
    Nov 18 at 16:45










  • @Prototank I have edited my question .... sorry for delaying.
    – Idonotknow
    Nov 20 at 15:07













up vote
-1
down vote

favorite









up vote
-1
down vote

favorite











The question and its answer is given below:




enter image description hereenter image description hereenter image description here




My Questions are:



1- The solution has proved that $p circ v^*$ is the identity on X and not $p circ v$, does not that mean that the vector field $v$^* satisfies the second definition and not the vector field v?



2- In the seventh line in the solution, I do not understand how he proved that $x = y$










share|cite|improve this question















The question and its answer is given below:




enter image description hereenter image description hereenter image description here




My Questions are:



1- The solution has proved that $p circ v^*$ is the identity on X and not $p circ v$, does not that mean that the vector field $v$^* satisfies the second definition and not the vector field v?



2- In the seventh line in the solution, I do not understand how he proved that $x = y$







general-topology differential-geometry algebraic-topology differential-topology geometric-topology






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Nov 20 at 15:07

























asked Nov 14 at 22:31









Idonotknow

1157




1157








  • 1




    I think it would be helpful if you reworded your 2nd and 3rd questions. I do not understand what you are asking.
    – Prototank
    Nov 15 at 18:36










  • Okay sorry I will @Prototank
    – Idonotknow
    Nov 18 at 16:45










  • @Prototank I have edited my question .... sorry for delaying.
    – Idonotknow
    Nov 20 at 15:07














  • 1




    I think it would be helpful if you reworded your 2nd and 3rd questions. I do not understand what you are asking.
    – Prototank
    Nov 15 at 18:36










  • Okay sorry I will @Prototank
    – Idonotknow
    Nov 18 at 16:45










  • @Prototank I have edited my question .... sorry for delaying.
    – Idonotknow
    Nov 20 at 15:07








1




1




I think it would be helpful if you reworded your 2nd and 3rd questions. I do not understand what you are asking.
– Prototank
Nov 15 at 18:36




I think it would be helpful if you reworded your 2nd and 3rd questions. I do not understand what you are asking.
– Prototank
Nov 15 at 18:36












Okay sorry I will @Prototank
– Idonotknow
Nov 18 at 16:45




Okay sorry I will @Prototank
– Idonotknow
Nov 18 at 16:45












@Prototank I have edited my question .... sorry for delaying.
– Idonotknow
Nov 20 at 15:07




@Prototank I have edited my question .... sorry for delaying.
– Idonotknow
Nov 20 at 15:07















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