Geodesic
On the classification of inverse limits of tent maps
Louis Block1 ; Slagjana Jakimovik2 ; Lois Kailhofer3 ; James Keesling1
1 Department of Mathematics University of Florida Gainesville, FL 32611-8105, U.S.A.
2 Department of Mathematics Cyril and Methodius University 1000 Skopje, Macedonia
3 Department of Mathematics Alverno College Milwaukee, WI 53215, U.S.A.
Fundamenta Mathematicae, Tome 187 (2005) no. 2, pp. 171-192.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let $f_s$ and $f_t$ be tent maps on the unit interval. In this paper we give a new proof of the fact that if the critical points of $f_s$ and $f_t$ are periodic and the inverse limit spaces $(I,f_s)$ and $(I,f_t)$ are homeomorphic, then $s = t$. This theorem was first proved by Kailhofer. The new proof in this paper simplifies the proof of Kailhofer. Using the techniques of the paper we are also able to identify certain isotopies between homeomorphisms on the inverse limit space.
DOI : 10.4064/fm187-2-5
Keywords: tent maps unit interval paper proof the critical points periodic inverse limit spaces homeomorphic theorem first proved kailhofer proof paper simplifies proof kailhofer using techniques paper able identify certain isotopies between homeomorphisms inverse limit space

Louis Block 1 ; Slagjana Jakimovik 2 ; Lois Kailhofer 3 ; James Keesling 1

1 Department of Mathematics University of Florida Gainesville, FL 32611-8105, U.S.A.
2 Department of Mathematics Cyril and Methodius University 1000 Skopje, Macedonia
3 Department of Mathematics Alverno College Milwaukee, WI 53215, U.S.A. 
@article{10_4064_fm187_2_5,
     author = {Louis Block and Slagjana Jakimovik and Lois Kailhofer and James Keesling},
     title = {On the classification of inverse limits of tent maps},
     journal = {Fundamenta Mathematicae},
     pages = {171--192},
     publisher = {mathdoc},
     volume = {187},
     number = {2},
     year = {2005},
     doi = {10.4064/fm187-2-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/fm187-2-5/}
}
TY  - JOUR
AU  - Louis Block
AU  - Slagjana Jakimovik
AU  - Lois Kailhofer
AU  - James Keesling
TI  - On the classification of inverse limits of tent maps
JO  - Fundamenta Mathematicae
PY  - 2005
SP  - 171
EP  - 192
VL  - 187
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/fm187-2-5/
DO  - 10.4064/fm187-2-5
LA  - en
ID  - 10_4064_fm187_2_5
ER  - 
%0 Journal Article
%A Louis Block
%A Slagjana Jakimovik
%A Lois Kailhofer
%A James Keesling
%T On the classification of inverse limits of tent maps
%J Fundamenta Mathematicae
%D 2005
%P 171-192
%V 187
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/fm187-2-5/
%R 10.4064/fm187-2-5
%G en
%F 10_4064_fm187_2_5
Louis Block; Slagjana Jakimovik; Lois Kailhofer; James Keesling. On the classification of inverse limits of tent maps. Fundamenta Mathematicae, Tome 187 (2005) no. 2, pp. 171-192. doi : 10.4064/fm187-2-5. http://geodesic.mathdoc.fr/articles/10.4064/fm187-2-5/

Cité par Sources :