Graph of a connected not path connected set https://math.stackexchange.com/q/2625777/290189 image:https://i.stack.imgur.com/b3ahP.png

msetopo.m

figure
title('A connected not path connected set')
hold on
% Plot set A
for i = 1:10
  plot([0,1], [0,1/i], "linewidth", 2)
end
% Plot set B
plot([0.5,1],[0,0],'--', "linewidth",2)

% dist(A_1,B\A_1)
quiver(1,0.75,0,0.25,0,'linewidth',1.7,'MaxHeadSize',0.1)
quiver(1,0.75,0,-0.25,0,'linewidth',1.7,'MaxHeadSize',0.1)
text(1, 0.75,"angle difference = 0.322")
% dist(A_1 U A_2, B\(A_1 U A_2)
quiver(0.8,0.6,0,0.2,0,'linewidth',1.7,'MaxHeadSize',0.1)
quiver(0.8,0.6,0,4/15-0.6,0,'linewidth',1.7,'MaxHeadSize',0.1)
text(0.4, 0.6,"angle difference = 0.463")
hold off