how do we know that the curve is simply connection, given the curve gamma (t) = sigma (p(t)) where p(t) is a circle.

do we say that since p(t) is simply connected, hence sigma(p(t)) is simply connection hence curve gamma(t) is simply connected?

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- May 2nd 2012, 03:12 AMalexandrabel90simply connected
how do we know that the curve is simply connection, given the curve gamma (t) = sigma (p(t)) where p(t) is a circle.

do we say that since p(t) is simply connected, hence sigma(p(t)) is simply connection hence curve gamma(t) is simply connected? - May 2nd 2012, 11:28 AMHallsofIvyRe: simply connected
I suspect that those functions, p and gamma, will have to be

**continuous**so that is true!