Pasting presentations for
Chapter 2 of my Ph.D. thesis
``On combinatorial models for higher dimensional homotopies'',
1995, xxii+163+XV pp.
The pasting theorem showed that pasting schemes are useful in studying
It was thought that their inflexibility with respect to composition and
identities prohibited wider use. This is not the case: there is a way of
dealing with identities which makes it possible to describe
in terms of generating pasting schemes and relations between generated
pastings, i.e., with pasting presentations. In this chapter I develop
the necessary machinery for this. The main result, that the
by a pasting presentation is universal with respect to respectable families
of realizations, is a generalization of the pasting theorem.
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Sjoerd E. Crans