Covering spaces for $S^1 vee S^1vee S^1$












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When I read the HATCHER book(algebraic topolog) a question i found on a pdf and the truth is i cant find a way to solve it and realize it! the question which i saw after reading page 57/58/59( covering spaces of HATCHER) is:




>
How could we find the covering space corresponding to $N=N(<a^2,b^2,(abc)^4>)$ for $S^1vee S^1 vee S^1$




Obviously the graph of $S^1vee S^1 vee S^1$ hast three orbitation and one vertex and 3 edges.



I read the HATCHER and i realize how he identified orbitations and explains covering spaces for $S^1vee S^1$ ,but there isn't and guidness for $S^1vee S^1 vee S^1$ and the way to show covering spaces corresponding to i.e $N$ (converse situation explained in HATCHER)



If someone could help me to realize the way of proof and solution i would be so much grateful.



Thanks in Advance










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    $begingroup$


    When I read the HATCHER book(algebraic topolog) a question i found on a pdf and the truth is i cant find a way to solve it and realize it! the question which i saw after reading page 57/58/59( covering spaces of HATCHER) is:




    >
    How could we find the covering space corresponding to $N=N(<a^2,b^2,(abc)^4>)$ for $S^1vee S^1 vee S^1$




    Obviously the graph of $S^1vee S^1 vee S^1$ hast three orbitation and one vertex and 3 edges.



    I read the HATCHER and i realize how he identified orbitations and explains covering spaces for $S^1vee S^1$ ,but there isn't and guidness for $S^1vee S^1 vee S^1$ and the way to show covering spaces corresponding to i.e $N$ (converse situation explained in HATCHER)



    If someone could help me to realize the way of proof and solution i would be so much grateful.



    Thanks in Advance










    share|cite|improve this question











    $endgroup$















      0












      0








      0





      $begingroup$


      When I read the HATCHER book(algebraic topolog) a question i found on a pdf and the truth is i cant find a way to solve it and realize it! the question which i saw after reading page 57/58/59( covering spaces of HATCHER) is:




      >
      How could we find the covering space corresponding to $N=N(<a^2,b^2,(abc)^4>)$ for $S^1vee S^1 vee S^1$




      Obviously the graph of $S^1vee S^1 vee S^1$ hast three orbitation and one vertex and 3 edges.



      I read the HATCHER and i realize how he identified orbitations and explains covering spaces for $S^1vee S^1$ ,but there isn't and guidness for $S^1vee S^1 vee S^1$ and the way to show covering spaces corresponding to i.e $N$ (converse situation explained in HATCHER)



      If someone could help me to realize the way of proof and solution i would be so much grateful.



      Thanks in Advance










      share|cite|improve this question











      $endgroup$




      When I read the HATCHER book(algebraic topolog) a question i found on a pdf and the truth is i cant find a way to solve it and realize it! the question which i saw after reading page 57/58/59( covering spaces of HATCHER) is:




      >
      How could we find the covering space corresponding to $N=N(<a^2,b^2,(abc)^4>)$ for $S^1vee S^1 vee S^1$




      Obviously the graph of $S^1vee S^1 vee S^1$ hast three orbitation and one vertex and 3 edges.



      I read the HATCHER and i realize how he identified orbitations and explains covering spaces for $S^1vee S^1$ ,but there isn't and guidness for $S^1vee S^1 vee S^1$ and the way to show covering spaces corresponding to i.e $N$ (converse situation explained in HATCHER)



      If someone could help me to realize the way of proof and solution i would be so much grateful.



      Thanks in Advance







      algebraic-topology covering-spaces






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      share|cite|improve this question













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      edited Jan 18 at 7:42







      pershina olad

















      asked Jan 17 at 17:19









      pershina oladpershina olad

      9410




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