More on External Approximation of a Continuum

Andrzej Trybulec

University of Bialystok

Summary.

The main goal was to prove two facts: \begin{itemize} \itemsep-3pt \item the gauge is the Go-Board of a corresponding cage, \item the left components of the complement of the curve determined by a cage are monotonic wrt the index of the approximation. \end{itemize} Some auxiliary facts are proved, too. At the end the new notion needed for the internal approximation are defined and some useful lemmas are proved.

This work has been partially supported by CALCULEMUS grant HPRN-CT-2000-00102.

MML Identifier: JORDAN1H

Contents (PDF format)

1. Preliminaries
2. Transforming Finite Sets to Finite Sequences
3. On the Construction of Go-Boards
4. More about Go-Boards
5. More about Gauges
6. More about Cages
7. Preparing the Internal Approximation

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