For no appreciatable reason I've been trying to figure out 2-manifolds. Unfortunately, I've been struggling to find good enough sources on learning the basics, so it's pretty likely that my question will betray my lack of understanding of the basic topological concepts, which I believe to be a good thing.
Imagine we cut a circural hole in a sphere. It will have a single boundary. Let's also take a Möbius strip. It also has a single boundary. let's glue those boundaries together. What will be the resulting shape? What it will be homeomorphic to? It might be a cliché thing to say in the field, but I have hard times imagining the resulting object.
Might be a duplicate with Gluing a Möbius strip into a sphere. - I do not understand either the question nor an answer.
Okay, after getting some answers that cleared things up for me, and re-reading & re-analyzing the question above, I can confirm that indeed I posted a duplicate question. I'm sorry. :(