The wedge sum of two circles has fixed point property?
I'm trying to find a continuous map from the wedge sum to itself, that this property fails, I couldn't find it, I need help.
Thanks
2026-04-04 14:40:24.1775313624
The wedge sum of two circles has fixed point property?
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If by circle you mean $S^1$, and the fixed point property is the claim that every continuous map into itself has a fixed point, for two circles like so:
consider the map that rotates $A$ by 90 degrees, and sends all of $B$ to the image of $x$.