Can anyone tell me what is the essential difference between planar subcontinua and subcontinua 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 subcontinuum of the unit square, what does the image $p(K)$ look like? Or if $L$ is a subcontinuum of the torus, what is the preimage $p^{1}(L)$ of $L$? $\endgroup$ – Yee Neil Dec 18 '18 at 3:08