One of these functions that is defined in terms of maps of a closed subcomplex of a CW-complex can always be extended to be defined in terms of maps of the entire complex. If one of these functions exists between the identity map on a space X and a constant function, then X (10[1])is contractible. (10[4])A (10[1])fibration is a map that satisfies a lifting (-5[1])property of these functions (10[1])with respect to any space. (-5[1])These functions are used to define an equivalence (10[1])relation (10[1])on loops (10[1])whose equivalence classes are members of the fundamental group. For two spaces X and Y and two functions f (10[1])and g both from X to Y, one of these functions is defined from [read slowly to end of sentence] “X cross (10[1])the closed unit interval” to Y such that it agrees with “f of x” at “x comma zero” and (-5[1])agrees with “g of x” at “x comma one.” For 10 points, name these functions that define an equivalence between topological spaces (10[1])that is weaker than the notion (-5[1])of homeomorphic spaces. (10[1]0[1])■END■ (10[1]0[8])