Covering space in B. O'Neill book, semi-riemannian geom.

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i'm reading the Appendix A in B. O'Neill's book semi-riemannian geometry and he says this.
enter image description here



I'm thinking on $textexp:mathbbRto S^1$ dose not provide an izo at the level of fundamental groups. What is wrong here?










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  • one-to-one means injective not isomorphism
    – Warlock of Firetop Mountain
    Sep 10 at 21:01










  • oh, now make sens!
    – Hurjui Ionut
    Sep 10 at 21:26














up vote
0
down vote

favorite












i'm reading the Appendix A in B. O'Neill's book semi-riemannian geometry and he says this.
enter image description here



I'm thinking on $textexp:mathbbRto S^1$ dose not provide an izo at the level of fundamental groups. What is wrong here?










share|cite|improve this question





















  • one-to-one means injective not isomorphism
    – Warlock of Firetop Mountain
    Sep 10 at 21:01










  • oh, now make sens!
    – Hurjui Ionut
    Sep 10 at 21:26












up vote
0
down vote

favorite









up vote
0
down vote

favorite











i'm reading the Appendix A in B. O'Neill's book semi-riemannian geometry and he says this.
enter image description here



I'm thinking on $textexp:mathbbRto S^1$ dose not provide an izo at the level of fundamental groups. What is wrong here?










share|cite|improve this question













i'm reading the Appendix A in B. O'Neill's book semi-riemannian geometry and he says this.
enter image description here



I'm thinking on $textexp:mathbbRto S^1$ dose not provide an izo at the level of fundamental groups. What is wrong here?







algebraic-topology homotopy-theory geometric-topology






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share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Sep 10 at 20:37









Hurjui Ionut

394111




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  • one-to-one means injective not isomorphism
    – Warlock of Firetop Mountain
    Sep 10 at 21:01










  • oh, now make sens!
    – Hurjui Ionut
    Sep 10 at 21:26
















  • one-to-one means injective not isomorphism
    – Warlock of Firetop Mountain
    Sep 10 at 21:01










  • oh, now make sens!
    – Hurjui Ionut
    Sep 10 at 21:26















one-to-one means injective not isomorphism
– Warlock of Firetop Mountain
Sep 10 at 21:01




one-to-one means injective not isomorphism
– Warlock of Firetop Mountain
Sep 10 at 21:01












oh, now make sens!
– Hurjui Ionut
Sep 10 at 21:26




oh, now make sens!
– Hurjui Ionut
Sep 10 at 21:26















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