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Can anyone tell me what is the essential difference between planar sub-continua and sub-continua of the torus? I will appreciate if you can give me some references.

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  • $\begingroup$ I am sorry for my mistake. I am interested in continua, it is known that torus is the quotient space of the unit square by pasting the opposite edges together, if $p$ is the quotient map, and $K$ is a sub-continuum of the unit square, what does the image $p(K)$ look like? Or if $L$ is a sub-continuum of the torus, what is the pre-image $p^{-1}(L)$ of $L$? $\endgroup$
    – Yee Neil
    Commented Dec 18, 2018 at 3:08

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