Monotone images of W-sets and hereditarily weakly confluent images of continua | Zendy

Jonathan Hatch | Zendy; Č. V. Stanojević | Zendy

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Monotone images of W-sets and hereditarily weakly confluent images of continua

Author(s) -

Jonathan Hatch,

Č. V. Stanojević

Publication year - 2003

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim0374111h

Subject(s) - surjective function , mathematics , monotone polygon , class (philosophy) , image (mathematics) , continuum hypothesis , pure mathematics , combinatorics , discrete mathematics , mathematical analysis , geometry , computer science , artificial intelligence

A proper subcontinuum H of a continuum X is said to be a W-set provided for each continuous surjective function f from a continuum Y onto X, there exists a subcontinuum C of Y that maps entirely onto H. Hereditarily weakly confluent (HWC) mappings are those with the property that each restriction to a subcontinuum of the domain is weakly confluent. In this paper, we show that the monotone image of a W-set is a W-set and that there exists a continuum which is not in class W but which is the HWC image of a class W continuum.

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