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Does path connected implies locally path connected?

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In section Covering_group#Group_structure_on_a_covering_space and the following one there are conditions on topological groups to be both path connected and locally path connected. Shouldn't path connectedness be enough? If there is some reason why it stresses locally path connectedness, it should say it. Alesak23 (talk) 23:09, 8 December 2011 (UTC)[reply]

Covering map surjective?

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I believe that the covering map p : G → H has to be surjective?! --Stefan Neumeier (talk) 18:14, 22 November 2013 (UTC)[reply]

Is there a proof for Z (H) = Z (G) / N?

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Where I can find a proof for the fact that Z(H) = Z (G)/N? It was described in section "Properties". — Preceding unsigned comment added by Slapero (talkcontribs) 00:46, 15 December 2013 (UTC)[reply]

Simplify for Undergraduates

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This page seems to have been written by mathematicians for mathematicians. I offer that if I were a mathematician, I would not need the page. Please write so that an undergraduate in, say physics or computer science, could understand - i.e. leave out the math specific jargon, or math specific technical terms, if you will.

Even better, explain it for a high school student. There is no reason that they should not benefit from Wikipedia. It is a challenge - you must be conversant in the field to do so.

Thanks, (Softcafe (talk) 15:59, 15 June 2014 (UTC))[reply]