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On simple maps

Friedhelm Waldhausen, Bjørn Jahren, and John Rognes

in Spaces of PL Manifolds and Categories of Simple Maps (AM-186)

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691157757
eISBN:
9781400846528
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691157757.003.0003
Subject:
Mathematics, Geometry / Topology

This chapter deals with simple maps of finite simplicial sets, along with some of their formal properties. It begins with a discussion of simple maps of simplicial sets, presenting a proposition for ... More


The non-manifold part

Friedhelm Waldhausen, Bjørn Jahren, and John Rognes

in Spaces of PL Manifolds and Categories of Simple Maps (AM-186)

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691157757
eISBN:
9781400846528
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691157757.003.0004
Subject:
Mathematics, Geometry / Topology

Abstract and Keywords to be supplied.


The stable parametrized h-cobordism theorem

Friedhelm Waldhausen, Bjørn Jahren, and John Rognes

in Spaces of PL Manifolds and Categories of Simple Maps (AM-186)

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691157757
eISBN:
9781400846528
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691157757.003.0002
Subject:
Mathematics, Geometry / Topology

This chapter deals with the stable parametrized h-cobordism theorem. It begins with a discussion of the manifold part; here DIFF is written for the category of Csuperscript infinity smooth manifolds, ... More


Spaces of PL Manifolds and Categories of Simple Maps (AM-186)

Friedhelm Waldhausen, Bjørn Jahren, and John Rognes

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691157757
eISBN:
9781400846528
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691157757.001.0001
Subject:
Mathematics, Geometry / Topology

Since its introduction by the author in the 1970s, the algebraic K-theory of spaces has been recognized as the main tool for studying parametrized phenomena in the theory of manifolds. However, a ... More


Mapping Accounts

Gualtiero Piccinini

in Physical Computation: A Mechanistic Account

Published in print:
2015
Published Online:
August 2015
ISBN:
9780199658855
eISBN:
9780191748158
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199658855.003.0003
Subject:
Philosophy, Logic/Philosophy of Mathematics, Philosophy of Mind

This chapter introduces the simple mapping account of concrete computation based on a mapping between a physical description and a computational description and describes its shortcomings—first and ... More


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