Geodesic
Regions of attraction, limits and end points of an exterior discrete semi-flow
Homology, homotopy, and applications, Tome 21 (2019) no. 2, pp. 83-106.

Voir la notice de l'article provenant de la source International Press of Boston

An exterior space is a topological space equipped with a distinguished quasi-filter of open subsets (closed by finite intersections) that we call externology. For an exterior space one can consider limits, bar-limits and different sets of end points (Steenrod, Čech, Brown–Grossman). In this work we analyze relations between exterior spaces and discrete semi-flows. In order to do this we introduce the notion of exterior discrete semi-flow, which is a mixture of exterior space and discrete semi-flow. We see that any classical discrete semi-flow can be provided with the structure of an exterior discrete semi-flow by taking the quasi-filter of right-absorbing open subsets. Such a family of open subsets is used to study the relations between limits and periodic points and connections between bar-limits and omega-limits. The different notions of end points are used to decompose the region of attraction of an exterior discrete semi-flow as a disjoint union of basins of end points. We also analyze the exterior discrete semi-flow structure induced by the family of open neighborhoods of a given sub-semi-flow.
DOI : 10.4310/HHA.2019.v21.n2.a6
Classification : 54H20, 55P55, 55P57
Keywords: discrete semi-flow, exterior space, limit space, end point, end space, exterior discrete semi-flow 
@article{HHA_2019_21_2_a5,
     author = {J.M. Garc{\'\i}a Calcines and L.J. Hern\'andez Paricio and M. Mara\~n\'on Grandes and M.T. Rivas Rodr{\'\i}guez},
     title = {Regions of attraction, limits and end points of an exterior discrete semi-flow},
     journal = {Homology, homotopy, and applications},
     pages = {83--106},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {2019},
     doi = {10.4310/HHA.2019.v21.n2.a6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2019.v21.n2.a6/}
}
TY  - JOUR
AU  - J.M. García Calcines
AU  - L.J. Hernández Paricio
AU  - M. Marañón Grandes
AU  - M.T. Rivas Rodríguez
TI  - Regions of attraction, limits and end points of an exterior discrete semi-flow
JO  - Homology, homotopy, and applications
PY  - 2019
SP  - 83
EP  - 106
VL  - 21
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4310/HHA.2019.v21.n2.a6/
DO  - 10.4310/HHA.2019.v21.n2.a6
LA  - en
ID  - HHA_2019_21_2_a5
ER  - 
%0 Journal Article
%A J.M. García Calcines
%A L.J. Hernández Paricio
%A M. Marañón Grandes
%A M.T. Rivas Rodríguez
%T Regions of attraction, limits and end points of an exterior discrete semi-flow
%J Homology, homotopy, and applications
%D 2019
%P 83-106
%V 21
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4310/HHA.2019.v21.n2.a6/
%R 10.4310/HHA.2019.v21.n2.a6
%G en
%F HHA_2019_21_2_a5
J.M. García Calcines; L.J. Hernández Paricio; M. Marañón Grandes; M.T. Rivas Rodríguez. Regions of attraction, limits and end points of an exterior discrete semi-flow. Homology, homotopy, and applications, Tome 21 (2019) no. 2, pp. 83-106. doi : 10.4310/HHA.2019.v21.n2.a6. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2019.v21.n2.a6/

Cité par Sources :