Abstract
We introduce a way of characterizing the linking of one-dimensional minimal sets in three-dimensional flows and carry out the characterization for some minimal sets within flows modeled by templates, with an emphasis on the linking of Denjoy continua. We also show that any aperiodic minimal subshift of minimal block growth has a suspension which is homeomorphic to a Denjoy continuum.
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A generalized Morse sequence with seed word 001.
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A generalized Morse sequence with seed word 0011.
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Maple programs used to make plots (Maple release 7 worksheet.)
searchlink.pdf (3324 kB)
Searchable pdf of article
PostScript copy
linkoutline.pdf (67 kB)
Outline
ex3.gif (15 kB)
Plot not in paper: blue alpha=1/sqrt{11} red alpha=1/sqrt{7}
ex4.gif (15 kB)
Plot not in paper: blue alpha_1=1/sqrt{11} red alpha_2=1/sqrt{6}
22225.ps (103 kB)
plot not in paper (postscript version of 22225.pdf)
22225.pdf (27 kB)
plot not in paper (pdf version of 22225.ps)
22ln22.ps (80 kB)
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cube1over9.ps (52 kB)
plot not in paper (postscript version of cube1over9.pdf)
cube1over9.pdf (13 kB)
plot not in paper (pdf version of cube1over9.ps)
001.gif (17 kB)
A generalized Morse sequence with seed word 001.
0011.gif (14 kB)
A generalized Morse sequence with seed word 0011.
Lorenz.mws (1517 kB)
Maple programs used to make plots (Maple release 7 worksheet.)
searchlink.pdf (3324 kB)
Searchable pdf of article
Recommended Citation
Clark, Alex and Sullivan, Michael C. "The Linking Homomorphism of One-Dimensional Minimal Sets." (Jan 2004).
Comments
Published in Topology and Its Applications, 141(1-3), 125-145.