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I read Steve Mitchell's Notes on principal bundles and classifying spaces (pdf). There is a theorem: Let $G$ be any topological group, $H$ an admissible normal subgroup. Then there is a homotopy-fibre sequence $BH\overset{Bi}{\rightarrow }BG\overset{% B\rho }{\rightarrow }B(G/H)$ where $i:H\rightarrow G$ is the inclusion and $% \rho :G\rightarrow G/H$ is the quotient map.

I need a reference (an article or book, not lecture notes) for this theorem with ''admissible hypotesis''.

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  • $\begingroup$ Have you seen this: mathoverflow.net/questions/235503/… ? $\endgroup$
    – Thomas Rot
    Aug 15, 2016 at 6:38
  • $\begingroup$ I have seen but May's Classifying spaces and fibration is a reference for this theorem? I am not sure. $\endgroup$
    – Mehmet Onat
    Aug 15, 2016 at 6:58
  • $\begingroup$ This is not really my area of expertise, so I can't judge. I thought this post was relevant. $\endgroup$
    – Thomas Rot
    Aug 15, 2016 at 7:26

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