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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

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The image of homomorphism of fundamental group of closed surface [closed]

$\phi: \pi_1(S)\to \pi_1(S)$ is a homomorphism of fundamental group of closed orientable surface $S$ of genus >=2. If $\phi$ is not an epimorphism, can we find a non-surjective self map $f: S\to S$ in …
J.C. Wu's user avatar
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