Subsection 5.5.12 (00H6): Monoids With Respect to the Smash Product of Pointed Sets

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Table of Contents
Part 1: Sets
Chapter 5: Tensor Products of Pointed Sets
Section 5.5: The Smash Product of Pointed Sets
Subsection 5.5.12: Monoids With Respect to the Smash Product of Pointed Sets (cite)

5.5.12 Monoids With Respect to the Smash Product of Pointed Sets

Proposition 5.5.12.1.1 ▶ Monoids With Respect to $\wedge $

The category of monoids on $\smash {\webleft (\mathsf{Sets}_{*},\wedge ,S^{0}\webright )}$ is isomorphic to the category of monoids with zero and morphisms between them.

Proof of Proposition 5.5.12.1.1.

See , in particular , , and .

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