Real Functions and its Differentiation in Alternative Set Theory
Logic
2020-07-20 v1
Abstract
In the previous paper (Kiri Sakahara and Takashi Sato. Basic Topological Concepts and a Construction of Real Numbers in Alternative Set Theory. arXiv e-prints, arXiv:2005.04388, May 2020), the authors displayed basic topological concepts and a construction of a system of real number in alternative set theory (AST). The present paper is a continuation of that research providing additional treatments of real functions. The basic properties of differentiation in AST are preserved as in the conventional calculus.
Cite
@article{arxiv.2007.08741,
title = {Real Functions and its Differentiation in Alternative Set Theory},
author = {Kiri Sakahara and Takashi Sato},
journal= {arXiv preprint arXiv:2007.08741},
year = {2020}
}
Comments
11 pages