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For questions involving the concept of convexity
1
vote
Strict inclusion for recession cone of closure of a convex set
The following set taken from here fulfills the inclusions strict:
$$
C = \left\lbrace(x,y) \mid 0 \leq x < 1, y \geq 1\right\rbrace \cup \left\lbrace(x,y) \mid 0 \leq x \leq 1, 0 \leq y \leq 1\right\r …