Property C, refinable maps and dimension raising maps

Content Provider	Semantic Scholar
Author	Garity, Dennis J. Rohm, Dale M.
Copyright Year	1986
Abstract	We show that refinable maps defined on compacta preserve Property C. H. Kato has proved the analogous result for weakly infinite dimensional spaces. We also show that if f is a map from a compact C space X onto a non C space Y, then the set of points in Y with an uncountable number of preimages is a space that does not have Property C.
Starting Page	336
Ending Page	340
Page Count	5
File Format	PDF HTM / HTML
DOI	10.1090/S0002-9939-1986-0854043-7
Volume Number	98
Alternate Webpage(s)	http://www.ams.org/journals/proc/1986-098-02/S0002-9939-1986-0854043-7/S0002-9939-1986-0854043-7.pdf
Alternate Webpage(s)	https://doi.org/10.1090/S0002-9939-1986-0854043-7
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article