856: Wedge Sum of Pointed Sets

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definition of wedge sum of pointed sets

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Topics

About: set

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The table of contents of this article

• Starting Context
• Target Context
• Orientation
• Main Body
• 1: Structured Description

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Starting Context

• The reader knows a definition of set.

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Target Context

• The reader will have a definition of wedge sum of pointed sets.

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Orientation

There is a list of definitions discussed so far in this site.

There is a list of propositions discussed so far in this site.

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Main Body

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1: Structured Description

Here is the rules of Structured Description.

Entities:
$\{(S_{\alpha },p_{\alpha })|\alpha \in A\}$: $\subseteq \{\text{ the pointed sets }\}$, $A\in \{\text{ the possibly uncountable index sets }\}$
$\ast {\vee }_{\alpha \in A}(S_{\alpha },p_{\alpha })$: $=\underset{\alpha \in A}{⨄}{S}_{\alpha }$ with $\{p_{\alpha }|\alpha \in A\}$ identified as $[p_{\alpha }]$, where $⨄$ denotes the disjoint union
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Conditions:
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References

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