English

Metric spaces and SDG

Metric Geometry 2017-02-24 v4

Abstract

We explore how the synthetic theory of metric spaces (Busemann) can coexist with synthetic differential geometry in the sense based on nilpotent elements in the number line.

Keywords

Cite

@article{arxiv.1610.10005,
  title  = {Metric spaces and SDG},
  author = {Anders Kock},
  journal= {arXiv preprint arXiv:1610.10005},
  year   = {2017}
}

Comments

Compared to Version 2 and 3, some redundancies are removed, and some arguments are corrected or completed

R2 v1 2026-06-22T16:37:45.410Z