Polynomial Convexity pp 169-216 | Cite as

# Sets of Class *A*_{1}

## Abstract

In this chapter we discuss the hulls of a class of sets with finite length more general than those contained in connected sets. Section 4.1 is introductory. Section 4.2 assembles some results from geometric measure theory for use in subsequent sections. Section 4.3 introduces the class *A*_{1} of sets that are the main object of study in this chapter. Section 4.4 establishes the finiteness of the area of certain one-dimensional varieties. Section 4.5 contains a version of Stokes’s theorem. Section 4.6 introduces a useful multiplicity function. Section 4.7 contains a bound on the number of global branches of a hull.

## Keywords

Closed Subset Blaschke Product Tangent Cone Simple Closed Curve Simple Closed Curf## Preview

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