@article{Blackadar_2016, title={The Homotopy Lifting Theorem for Semiprojective $C^*$-Algebras}, volume={118}, url={https://www.mscand.dk/article/view/23691}, DOI={10.7146/math.scand.a-23691}, abstractNote={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.}, number={2}, journal={MATHEMATICA SCANDINAVICA}, author={Blackadar, Bruce}, year={2016}, month={Jun.}, pages={291–302} }