On flag-transitive anomalous -geometries.
Yoshiara, Satoshi, Pasini, Antonio (1993)
Beiträge zur Algebra und Geometrie
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On flag-transitive anomalous -geometries.
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Non-transitive points and porosity
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We establish that for a fairly general class of topologically transitive dynamical systems, the set of non-transitive points is very small when the rate of transitivity is very high. The notion of smallness that we consider here is that of σ-porosity, and in particular we show that the set of non-transitive points is σ-porous for any subshift that is a factor of a transitive subshift of finite type, and for the tent map of [0,1]. The result extends to some finite-to-one factor systems....
On some flag-transitive non-classical -geometries. II.
Yoshiara, Satoshi (1997)
Beiträge zur Algebra und Geometrie
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