\( \newcommand\D{\mathrm{d}} \newcommand\E{\mathrm{e}} \newcommand\I{\mathrm{i}} \newcommand\bigOh{\mathcal{O}} \newcommand{\cat}[1]{\mathbf{#1}} \newcommand\curl{\vec{\nabla}\times} \newcommand{\CC}{\mathbb{C}} \newcommand{\NN}{\mathbb{N}} \newcommand{\QQ}{\mathbb{Q}} \newcommand{\RR}{\mathbb{R}} \newcommand{\ZZ}{\mathbb{Z}} \)
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Mfld - Smooth Manifolds

Table of Contents

1. Definition

The category Mfld has

Objects
Smooth Manifolds
Morphisms
Smooth (i.e., \(C^{\infty}\)) mappings

The notation for the name of this category varies wildly: Diff, Man, among others. But since Diff is also used for diffeological spaces, and Man seems like it's useful for other things, I opted for Mfld.

Last Updated 2021-06-01 Tue 10:00.