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Inverse limit spaces of infinitely renormalizable maps

✍ Scribed by Marcy Barge; Beverly Diamond


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
486 KB
Volume
83
Category
Article
ISSN
0166-8641

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✦ Synopsis


There are uncountably many distinct inverse limit spaces that can be formed with unimodal maps as bonding maps. 0 1998 Elsevier Science B.V.


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Let I be a closed interval and f : I -I be continuous. We investigate the structure of the inverse limit space lim{l. j'} which contains no indecomposable subcontinuum. In particular, we show that the set of nondegenerate maximal nowhere dense subcontinua of lim{l, f} is finite if f is piecewise mon