Is there any survey paper focusing on the study of DIFF PL LIP TOP categories?
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1You might try poking around Ranicki’s website. I am sure their is some material on the categories above. http://www.maths.ed.ac.uk/~aar/ – Spice the Bird Feb 06 '12 at 16:07
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What aspects are you looking for? – Tim Porter Feb 06 '12 at 17:35
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Basic introductions, like differences, examples and open problems list. – J. GE Feb 06 '12 at 18:03
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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.
Tim Porter
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