On the Ordering of N-Modal Cycles

Chris Bernhardt

doi:10.1090/S0002-9947-96-01664-9

On the Ordering of N-Modal Cycles

Chris Bernhardt

Fairfield University

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Journal	Transactions of the American Mathematical Society
Volume	348
DOIs	https://doi.org/10.1090/S0002-9947-96-01664-9
State	Published - Sep 1 1996

Disciplines

Computer Sciences
Physical Sciences and Mathematics

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10.1090/S0002-9947-96-01664-9License: CC BY

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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.",

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AB - 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.

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JO - Transactions of the American Mathematical Society

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On the Ordering of N-Modal Cycles

Abstract

Disciplines

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