In this paper we prove the nonrecurrent case of the Ingram conjecture by showing that if and are two tent maps with nonrecurrent critical points then is homeomorphic to if and only if .
"A classification of inverse limit spaces of tent maps with a nonrecurrent critical point." Algebr. Geom. Topol. 9 (2) 1049 - 1088, 2009. https://doi.org/10.2140/agt.2009.9.1049