Template:Universal property of the quotient topology/Diagram

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Revision as of 17:18, 9 October 2016 by Alec (Talk | contribs) (Created page with "{| class="wikitable" border="1" style="max-width:25em;" |- | style="font-size:1.5em;" | <center><m>\xymatrix{ X \ar[d]_{q} \ar[dr]^{f\circ q} & \\ Y \ar[r]_f & Z }</m></center...")

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[ilmath]\xymatrix{ X \ar[d]_{q} \ar[dr]^{f\circ q} & \\ Y \ar[r]_f & Z }[/ilmath]
In this commutative diagram
[ilmath]f[/ilmath] is continuous
[ilmath]\iff[/ilmath]
[ilmath]f\circ q[/ilmath] is continuous