On the ordering of $n$-modal cycles
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- by Chris Bernhardt PDF
- Trans. Amer. Math. Soc. 348 (1996), 3827-3834 Request permission
Abstract:
The forcing relation on $n$-modal cycles is studied. If $\alpha$ is an $n$-modal cycle then the $n$-modal cycles with block structure that force $\alpha$ form a $2^n$-horseshoe above $\alpha$. If $n$-modal $\beta$ forces $\alpha$, and $\beta$ does not have a block structure over $\alpha$, then $\beta$ forces a $2$-horseshoe of simple extensions of $\alpha$.References
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Additional Information
- Chris Bernhardt
- Affiliation: Department of Mathematics and Computer Science, Fairfield University, Fairfield Connecticut 06430
- Email: cbernhardt@fair1.fairfield.edu
- Received by editor(s): April 3, 1995
- Received by editor(s) in revised form: November 2, 1995
- © Copyright 1996 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 348 (1996), 3827-3834
- MSC (1991): Primary 58F03; Secondary 58F20, 58F08
- DOI: https://doi.org/10.1090/S0002-9947-96-01664-9
- MathSciNet review: 1360221