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

  • 1
    $\begingroup$ You might try poking around Ranicki’s website. I am sure their is some material on the categories above. maths.ed.ac.uk/~aar $\endgroup$ Feb 6, 2012 at 16:07
  • $\begingroup$ What aspects are you looking for? $\endgroup$
    – Tim Porter
    Feb 6, 2012 at 17:35
  • $\begingroup$ Basic introductions, like differences, examples and open problems list. $\endgroup$
    – J. GE
    Feb 6, 2012 at 18:03

1 Answer 1


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.


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


I hope this helps.


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