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arXiv · 2509.20633

Affine Hulls and Simplices: a Constructive Analysis

Douglas S. Bridges
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Abstract

This paper deals with certain fundamental results about affine hulls and simplices in a real normed linear space. The framework of the paper is Bishop's constructive mathematics, which, with its characteristic interpretation of existence as constructibility, often involves more subtle estimation than its classical-logic-based counterpart. As well as technically more involved proofs (for example, that of Theorem 29 on the perturbation of vertices), we have included a number of elementary ones for completeness of exposition.

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Douglas S. Bridges. 2025-09-25. Affine Hulls and Simplices: a Constructive Analysis. https://arxiv.org/abs/2509.20633

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