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Coarse Ends

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2223))

Abstract

The end space of a topological space is an invariant that represents the many ways of exiting from that space. In this chapter we introduce a version of this invariant for the category of metric spaces and coarse maps.

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Notes

  1. 1.

    In fact, the proof of this property applies to any complete path metric space, as well as the proof of Proposition 6.32.

References

  1. M.R. Bridson, A. Haefliger, Metric Spaces of Non-Positive Curvature. Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 319 (Springer, Berlin, 1999)

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  2. J. Dugundji, Topology (Allyn and Bacon Inc., Boston, 1978). Reprinting of the 1966 original, Allyn and Bacon Series in Advanced Mathematics

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  3. R. Geoghegan, Topological Methods in Group Theory (Springer, New York, 2008)

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  4. J. Roe, Lectures on Coarse Geometry. University Lecture Series, vol. 31 (American Mathematical Society, Providence, 2003)

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Álvarez López, J.A., Candel, A. (2018). Coarse Ends. In: Generic Coarse Geometry of Leaves. Lecture Notes in Mathematics, vol 2223. Springer, Cham. https://doi.org/10.1007/978-3-319-94132-5_6

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