Are you familiar with these notes?
Alexander Kupers, "Zeeman's Conjecture," 2017. PDF download.
Kupers refers to this as "a good reference":
Sergei Matveev and Dale Rolfsen, "Zeeman’s collapsing conjecture," Two-dimensional homotopy and combinatorial group theory, London Math. Soc. Lecture Note Ser., vol. 197, Cambridge Univ. Press, Cambridge, 1993.