Cell-Like Mappings and Nonmetrizable Compacta of Finite Cohomological Dimension

Sibe Mardesic, Leonard R. Rubin
1989 Transactions of the American Mathematical Society  
Compact Hausdorff spaces X of cohomological dimension dimz X < n are characterized as cell-like images of compact Hausdorff spaces Z with covering dimension dimZ < n. The proof essentially uses the newly developed techniques of approximate inverse systems.
doi:10.2307/2001065 fatcat:skgevnzvkjdblnfhgfdbk6otpa