Left homotopy groups











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What are $delta_0$ and $delta_1$ in the diagram of the definition $2.1$
in the notion of homotopy here?






general-topology homotopy-theory higher-homotopy-groups







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    What are $delta_0$ and $delta_1$ in the diagram of the definition $2.1$
    in the notion of homotopy here?






    general-topology homotopy-theory higher-homotopy-groups







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      up vote
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      down vote

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      up vote
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      down vote

      favorite











      What are $delta_0$ and $delta_1$ in the diagram of the definition $2.1$
      in the notion of homotopy here?






      general-topology homotopy-theory higher-homotopy-groups







      share|cite|improve this question















      What are $delta_0$ and $delta_1$ in the diagram of the definition $2.1$
      in the notion of homotopy here?






      general-topology homotopy-theory higher-homotopy-groups




      general-topology homotopy-theory higher-homotopy-groups






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      share|cite|improve this question













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      edited Nov 21 at 18:11









      Paul Frost

      8,4071528




      8,4071528










      asked Nov 21 at 13:48









      user122424

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          They are constant functions. For any $xin X$, we have $delta_0(x) = 0$ and $delta_1(x) = 1$.






          share|cite|improve this answer





















          • OK. An how can I see that $eta$ is a natural transformation?
            – user122424
            Nov 21 at 14:01












          • @user122424 A natural transformation between which functors?
            – Paul Frost
            Nov 21 at 22:25











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          1 Answer
          1






          active

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          active

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          active

          oldest

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          up vote
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          down vote



          accepted










          They are constant functions. For any $xin X$, we have $delta_0(x) = 0$ and $delta_1(x) = 1$.






          share|cite|improve this answer





















          • OK. An how can I see that $eta$ is a natural transformation?
            – user122424
            Nov 21 at 14:01












          • @user122424 A natural transformation between which functors?
            – Paul Frost
            Nov 21 at 22:25















          up vote
          1
          down vote



          accepted










          They are constant functions. For any $xin X$, we have $delta_0(x) = 0$ and $delta_1(x) = 1$.






          share|cite|improve this answer





















          • OK. An how can I see that $eta$ is a natural transformation?
            – user122424
            Nov 21 at 14:01












          • @user122424 A natural transformation between which functors?
            – Paul Frost
            Nov 21 at 22:25













          up vote
          1
          down vote



          accepted







          up vote
          1
          down vote



          accepted






          They are constant functions. For any $xin X$, we have $delta_0(x) = 0$ and $delta_1(x) = 1$.






          share|cite|improve this answer












          They are constant functions. For any $xin X$, we have $delta_0(x) = 0$ and $delta_1(x) = 1$.







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Nov 21 at 13:49









          Arthur

          109k7103186




          109k7103186












          • OK. An how can I see that $eta$ is a natural transformation?
            – user122424
            Nov 21 at 14:01












          • @user122424 A natural transformation between which functors?
            – Paul Frost
            Nov 21 at 22:25


















          • OK. An how can I see that $eta$ is a natural transformation?
            – user122424
            Nov 21 at 14:01












          • @user122424 A natural transformation between which functors?
            – Paul Frost
            Nov 21 at 22:25
















          OK. An how can I see that $eta$ is a natural transformation?
          – user122424
          Nov 21 at 14:01






          OK. An how can I see that $eta$ is a natural transformation?
          – user122424
          Nov 21 at 14:01














          @user122424 A natural transformation between which functors?
          – Paul Frost
          Nov 21 at 22:25




          @user122424 A natural transformation between which functors?
          – Paul Frost
          Nov 21 at 22:25


















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