Mapping Chainable Continua onto Dendroids

نویسنده

  • PIOTR MINC
چکیده

We prove that every chainable continuum can be mapped into a dendroid such that all point-inverses consist of at most three points. In particular, it follows that there exists a finite-to-one map from a hereditarily indecomposable continuum (the pseudoarc) onto hereditarily decomposable continuum. This answers a question by J. Krasinkiewicz.

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تاریخ انتشار 2003