March 10th, 2017, 09:37 AM  #1 
Newbie Joined: Jan 2017 From: Poland Posts: 1 Thanks: 0  fixed point
Hi I have a topological problem that bothers me. Let D be the closed disk on the plane. Let A be the plane continuum that does not separate the plane and let A be contained in interior of D. Let f:A >A be a continuous function and let g: D>D be also continuous function such that gA = f. So my question is: Does it imply that there exists x contained in interior of D such that g(x)=x? Thank you in advance and sorry for my English. Last edited by skipjack; March 10th, 2017 at 10:15 AM. 

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