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Séminaire Lotharingien de Combinatoire, B34b (1995), 23
pp.

# Andreas Dress, Vincent Moulton, Werner Terhalle

# T-Theory

**Abstract.**
T-Theory is the name that we adopt for the theory of trees,
injective envelopes of metric spaces, and all of the areas that
are connected with these topics, which has been developed over
the last ten-fifteen years in Bielefeld. Its motivation was
originally - and still is to a large extent - the development of
mathematical tools for reconstructing phylogenetic trees.
T-theory expanded considerably when its relationships with the
theory of affine buildings, valuated matroids, and decompositions
of metrics were discovered. In this paper, we give a brief
introduction to this theory, which we hope will serve as a useful
reference to some of the main results, and also as a guide for
further investigations into what T-theory has to offer.

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