Is there any survey paper focusing on the study of DIFF PL LIP TOP categories?



References for the categories: DIFF PL LIP TOP
I learnt of much of their properties when looking at the stuff on microbundles. A very clear source for lots of that is J. Lurie, Spring 2009, Topics in Geometric Topology (18.937) , notes for course 18.937. Look on Jacob's website and you will find the course notes. After that look back at the Haupvermutung book.


<http://www.maths.ed.ac.uk/~aar/books/haupt.pdf>


For the open problems I have not that long ago seen a list from the topology atlas:


<http://at.yorku.ca/list/qa.htm>


I hope this helps.


