TY - JOUR
AU - Blackadar, Bruce
PY - 2016/06/09
Y2 - 2022/01/17
TI - The Homotopy Lifting Theorem for Semiprojective $C^*$-Algebras
JF - MATHEMATICA SCANDINAVICA
JA - Math. Scand.
VL - 118
IS - 2
SE - Articles
DO - 10.7146/math.scand.a-23691
UR - https://www.mscand.dk/article/view/23691
SP - 291-302
AB - We prove a complete analog of the Borsuk Homotopy Extension Theorem for arbitrary semiprojective $C^*$-algebras. We also obtain some other results about semiprojective $C^*$-algebras: a partial lifting theorem with specified quotient, a lifting result for homomorphisms close to a liftable homomorphism, and that sufficiently close homomorphisms from a semiprojective $C^*$-algebra are homotopic.
ER -