Take the 2-minute tour ×
MathOverflow is a question and answer site for professional mathematicians. It's 100% free, no registration required.

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

share|improve this question
1  
You might try poking around Ranicki’s website. I am sure their is some material on the categories above. maths.ed.ac.uk/~aar –  Spice the Bird Feb 6 '12 at 16:07
    
What aspects are you looking for? –  Tim Porter Feb 6 '12 at 17:35
    
Basic introductions, like differences, examples and open problems list. –  John B Feb 6 '12 at 18:03

1 Answer 1

up vote 3 down vote accepted

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.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.