Property C and closed maps

AbstractA standard theorem from dimension theory states that a closed (m+1) to 1 map defined on a finite dimensional space can raise dimension by at most m. Dimension raising maps on countable dimensional spaces and on weakly infinite dimensional spaces have been investigated by A.V. Arhangelskii, A.I. Vainstein and E.G. Sklyarenko. A typical theorem is that a closed map on such spaces raises dimension only if some point has an uncountable number of preimages. A class of infinite dimensional spaces closely related to the two types mentioned above is the class of C spaces. R. Pol's example in 1980 and work of F.D. Ancel have generated renewed interest in C spaces. We prove results about dimension raising closed maps defined on C spaces that are analogous to the results mentioned above