858: Wedge Sum of Pointed Maps

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definition of wedge sum of pointed maps

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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 map.
• The reader knows a definition of wedge sum of pointed sets.

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Target Context

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

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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:
$\{(S_{\alpha },p_{\alpha })|\alpha \in A\}$: $\subseteq \{\text{ the pointed sets }\}$, $A\in \{\text{ the possibly uncountable index sets }\}$
${\vee }_{\alpha \in A}{S}_{\alpha }$: $=\text{ the wedge sum }$
$(S,p)$: $\in \{\text{ the pointed sets }\}$
$\{f_{\alpha }|\alpha \in A\}$: $f_{\alpha }:S_{\alpha }\to S$, $\in \{\text{ the maps such that }{f}_{\alpha }(p_{\alpha })=p\}$
$\ast {\vee }_{\alpha \in A}{f}_{\alpha }$: $:{\vee }_{\alpha \in A}{S}_{\alpha }\to S$, $=\text{ the canonical map that maps }[p_{\alpha }]\text{ to }p$
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Conditions:
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References

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