Essential dimension lowering mappings having dense deficiency set

Author:
Mladen Bestvina

Journal:
Trans. Amer. Math. Soc. **287** (1985), 787-798

MSC:
Primary 54C10; Secondary 55Q99

MathSciNet review:
768741

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Abstract | References | Similar Articles | Additional Information

Abstract: Two classes of surjective maps that are one-to-one over the image of a dense set are constructed. We show that for there is a monotone surjection that is one-to-one over the image of a dense set; and for , each element of can be represented as a monotone surjection that is one-to-one over the image of a dense set.

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Additional Information

DOI:
http://dx.doi.org/10.1090/S0002-9947-1985-0768741-0

Keywords:
One-to-one over the image of a dense set,
monotone map,
essential map,
stable values

Article copyright:
© Copyright 1985
American Mathematical Society