Comptes Rendus
no. 11
Topology/Computer science
Digital homotopy fixed point theory
[Théorie du point fixe pour les homotopies digitales]

Présenté par : Étienne Ghys

Ozgur Ege1 ; Ismet Karaca2
1 Department of Mathematics, Celal Bayar University, Muradiye, Manisa, 45140, Turkey
2 Department of Mathematics, Ege University, Bornova, Izmir, 35100, Turkey
Comptes Rendus. Mathématique, Volume 353 (2015) no. 11, pp. 1029-1033.

Nous démontrons de nouveaux résultats sur les images digitales dont les homotopies digitales entre deux transformations continues de l'image possèdent un chemin de points fixes. Ceci conduit à une théorie du point fixe des homotopies digitales, dont nous donnons une application sur une image digitale.

In this paper, we construct a framework which is called the digital homotopy fixed point theory. We get new results associating digital homotopy and fixed point theory. We also give an application on this theory.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.07.006

Ozgur Ege 1 ; Ismet Karaca 2

1 Department of Mathematics, Celal Bayar University, Muradiye, Manisa, 45140, Turkey
2 Department of Mathematics, Ege University, Bornova, Izmir, 35100, Turkey 
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Ozgur Ege; Ismet Karaca. Digital homotopy fixed point theory. Comptes Rendus. Mathématique, Volume 353 (2015) no. 11, pp. 1029-1033. doi : 10.1016/j.crma.2015.07.006. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2015.07.006/

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