Notation 5.2.1.1.4 (00CL): Elements of Tensors of Pointed Sets by Sets

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Table of Contents
Part 1: Sets
Chapter 5: Tensor Products of Pointed Sets
Section 5.2: Tensors and Cotensors of Pointed Sets by Sets
Subsection 5.2.1: Tensors of Pointed Sets by Sets
Notation 5.2.1.1.4: Elements of Tensors of Pointed Sets by Sets (cite)

Notation 5.2.1.1.4 ▶ Elements of Tensors of Pointed Sets by Sets

We write $a\odot x$ for the element $\webleft [\webleft (a,x\webright )\webright ]$ of

\begin{align*} A\odot X & \cong \bigvee _{a\in A}\webleft (X,x_{0}\webright )\\ & \mathrel {\smash {\overset {\mathclap {\scriptscriptstyle \text{def}}}=}}\webleft (\coprod _{i\in I}X_{i}\webright )/\mathord {\sim }.\end{align*}

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