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A Degree-Theoretic Proof of a Coarse Fixed Point Principle by Hair, Steven is a scholarly article available to read on EtoBox.

What is A Degree-Theoretic Proof of a Coarse Fixed Point Principle about?

We introduce a large scale analogue of the classical fixed-point property for continuous maps, which shall apply to coarse maps. We also develop a coarse version of degree for coarse maps on Euclidean spaces. Then, applying a coarse degree-theoretic argument, we prove that every coarse map from a Euclidean half-space to itself has the coarse fixed-point property.

Author

Hair, Steven

Published

2010

Language

EN