Geodesic
(SSP) geometry with directional homeomorphisms
Journal of Singularities, Tome 13 (2015), pp. 169-178

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In a previous paper we discussed several directional properties of sets satisfying the sequence selection property, denoted by (SSP) for short, and developed the (SSP) geometry via bi-Lipschitz transformations. In this paper we introduce the notion of directional homeomorphism and show that we can develop also the (SSP) geometry with directional transformations. For many important results proved earlier for bi-Lipschitz homeomorphisms we describe the analogues for directional homeomorphisms as well.
DOI : 10.5427/jsing.2015.13i
Classification : 14P15, 32B20, 57R45 
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     author = {Satoshi Koike and Laurentiu Paunescu},
     title = {(SSP) geometry with directional homeomorphisms},
     journal = {Journal of Singularities},
     pages = {169--178},
     publisher = {mathdoc},
     volume = {13},
     year = {2015},
     doi = {10.5427/jsing.2015.13i},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2015.13i/}
}
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Satoshi Koike; Laurentiu Paunescu. (SSP) geometry with directional homeomorphisms. Journal of Singularities, Tome 13 (2015), pp. 169-178. doi: 10.5427/jsing.2015.13i

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