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neat

is said to be neat provided that each one of its subdendroids has no improper shore point (see [Neumann-Lara et al. 1993, p. 939]). Let $\mathfrak{M}$$ be a class of mappings. A class $\mathfrak{M}$$ of mappings is said to be neat provided that if all homeomorphisms are in $\mathfrak{M}$$ and the composition of any two mappings in $\mathfrak{M}$$ is also in $\mathfrak{M}$$ .

Next: near homeomorphism Up: Definitions Previous: natural projection

Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30