1
$\begingroup$

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.

$\endgroup$
  • $\begingroup$ 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 Dec 18 '18 at 3:08

Your Answer

By clicking "Post Your Answer", you acknowledge that you have read our updated terms of service, privacy policy and cookie policy, and that your continued use of the website is subject to these policies.

Browse other questions tagged or ask your own question.