Mathematical Logic Quarterly 49 (6):598 (2003)

Authors
Abstract
We prove a definable analogue to Brouwer's Fixed Point Theorem for o-minimal structures of real closed field expansions: A continuous definable function mapping from the unit simplex into itself admits a fixed point, even though the underlying space is not necessarily topologically complete. Our proof is direct and elementary; it uses a triangulation technique for o-minimal functions, with an application of Sperner's Lemma
Keywords triangulation  o‐minimal structure  Fixed point  o‐minimal definability
Categories (categorize this paper)
DOI 10.1002/malq.200310065
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 63,339
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

On the Weak Kleene Scheme in Kripke's Theory of Truth.James Cain & Zlatan Damnjanovic - 1991 - Journal of Symbolic Logic 56 (4):1452-1468.
Minimal Predicates, Fixed-Points, and Definability.Johan van Benthem - 2005 - Journal of Symbolic Logic 70 (3):696-712.
Minimal Predicates. Fixed-Points, and Definability.Johan Van Benthem - 2005 - Journal of Symbolic Logic 70 (3):696 - 712.
Yet Another Hierarchy Theorem.Max Kubierschky - 2000 - Journal of Symbolic Logic 65 (2):627-640.
Weakly o-Minimal Structures and Some of Their Properties.B. Sh Kulpeshov - 1998 - Journal of Symbolic Logic 63 (4):1511-1528.
Quasi-o-Minimal Structures.Oleg Belegradek, Ya'acov Peterzil & Frank Wagner - 2000 - Journal of Symbolic Logic 65 (3):1115-1132.
Normal Triangulations in o-Minimal Structures.Elías Baro - 2010 - Journal of Symbolic Logic 75 (1):275-288.
On Dp-Minimal Ordered Structures.Pierre Simon - 2011 - Journal of Symbolic Logic 76 (2):448 - 460.
Automorphism Groups of Trivial Strongly Minimal Structures.Thomas Blossier - 2003 - Journal of Symbolic Logic 68 (2):644-668.
A Note on Weakly O-Minimal Structures and Definable Completeness.Alfred Dolich - 2007 - Notre Dame Journal of Formal Logic 48 (2):281-292.

Analytics

Added to PP index
2013-12-01

Total views
19 ( #560,630 of 2,448,744 )

Recent downloads (6 months)
2 ( #301,105 of 2,448,744 )

How can I increase my downloads?

Downloads

My notes