A functor has this property if it preserves all small weighted limits. A function with this property on a sequentially compact domain will always obtain its extremal values. The inverse image of an open set under a function with this property is always an open set. Homeomorphisms are functions which
A functor has this property if it preserves all small weighted limits. A function with this property on a sequentially compact domain will always obtain its extremal values. The inverse image of an open set under a function with this property is always an open set. Homeomorphisms are functions which have this property and which have inverses with this property. A function f has this property if the sequence (*) x sub n converges to x sub zero implies that the image sequence f of x sub n converges to f of x sub zero. A function with this property will attain every number in the range between its endpoints according to the Intermediate Value Theorem. Differentiability implies this condition for functions but not vice-versa. For 10 points, name this property of functions which do not have any "jumps."
A functor has this property if it preserves all small weighted limits.
continuous