# fibre sequence of classifying space

I read Steve Mitchell's Notes on principal bundles and classifying spaces. 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''.

• Have you seen this: mathoverflow.net/questions/235503/… ? – Thomas Rot Aug 15 '16 at 6:38
• I have seen but May's Classifying spaces and fibration is a reference for this theorem? I am not sure. – Mehmet Onat Aug 15 '16 at 6:58
• This is not really my area of expertise, so I can't judge. I thought this post was relevant. – Thomas Rot Aug 15 '16 at 7:26