Geodesic
A Theorem on the Denseness of Orbits in Metric Spaces
Canadian mathematical bulletin, Tome 23 (1980) no. 4, pp. 469-471

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DOI

Let τ be a transformation from a compact metric space X into itself. Conditions are presented which ensure that there exists an orbit which is dense in X. An example is given. 
Boyarsky, Abraham; Scarowksy, Manny. A Theorem on the Denseness of Orbits in Metric Spaces. Canadian mathematical bulletin, Tome 23 (1980) no. 4, pp. 469-471. doi: 10.4153/CMB-1980-071-8
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     title = {A {Theorem} on the {Denseness} of {Orbits} in {Metric} {Spaces}},
     journal = {Canadian mathematical bulletin},
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     year = {1980},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1980-071-8/}
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