Pretrees and the shadow topology
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A. V. Malyutin
Translated by: the author - St. Petersburg Math. J. 26 (2015), 225-271
- DOI: https://doi.org/10.1090/S1061-0022-2015-01338-1
- Published electronically: February 3, 2015
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Abstract:
A further development of the theory of pretrees, started by the work of L. Ward, P. Duchet, B. Bowditch, S. Adeleke and P. Neumann, and others, is presented. In particular, a relationship between this theory and the theory of convex structures is established. The shadow topology is investigated in detail. This remarkable topology emerges on tree-like objects of various types and has broad application.References
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Bibliographic Information
- A. V. Malyutin
- Affiliation: St. Petersburg Branch, Steklov Institute of Mathematics, Russian Academy of Sciences, Fontanka 27, St. Petersburg 191023, Russia
- Email: malyutin@pdmi.ras.ru
- Received by editor(s): December 25, 2012
- Published electronically: February 3, 2015
- Additional Notes: Partially supported by RFBR (grants 11-01-00677-a and 11-01-12092-ofi-m) and the RF President Grant MD-5118.2011.1.
- © Copyright 2015 American Mathematical Society
- Journal: St. Petersburg Math. J. 26 (2015), 225-271
- MSC (2010): Primary 54F50
- DOI: https://doi.org/10.1090/S1061-0022-2015-01338-1
- MathSciNet review: 3242036