"Find an example of a path connected, locally path-connected space which does not have a simply connected covering space". I was reading hatcher and he gives an example of shrinking wedge of circles, and in exercise 5 he mentioned the comb space ,both being spaces with no simply connected covering space, but these two spaces are not locally path connected, so can anyone help me in this ?
2026-03-29 15:31:13.1774798273
Simply connected covering space
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I would suggest you to go and have a look at my answer for this following question in math overflow.... link : https://mathoverflow.net/questions/111310/universal-covering-space-for-non-semilocally-simply-connected-spaces/173250#173250