Pretrees and the shadow topology

Malyutin, A.

doi:10.1090/S1061-0022-2015-01338-1

Pretrees and the shadow topology
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by 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.

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