TY  - Type of reference 
TI  - Zip Shift encoding of M-TO-1 local homeomorphisms 
AU  - Pouya Mehdipour
 
AU  - Sanaz Lamei 
AB  - We develop topological partitions for m-to-1 local homeomorphisms on compact metric spaces—maps that arise naturally in non-invertible dynamical systems, such as expanding and covering maps. These partitions enable a symbolic representation of the dynamics via the zip shift, an extended bilateral shift in the non-invertible setting. Inspired by Smale’s horseshoe construction, this approach generalizes topological partitions to a broader class of systems and opens new directions for studying their topological and ergodic properties. 
DO  - 10.21494/ISTE.OP.2026.1442 
JF  - Advances in Pure and Applied Mathematics 
KW  - zip shift, topological partition, local homeomorphisms, zip shift, topological partition, local homeomorphisms,  
L1  - https://openscience.fr/IMG/pdf/iste_apam26v17n2_2.pdf 
LA  - en 
PB  - ISTE OpenScience 
DA  - 2026/03/25 
SN  - 1869-6090 
TT  - Zip-Shift codage des M-TO-1 homéomorphismes locaux 
UR  - https://openscience.fr/Zip-Shift-encoding-of-M-TO-1-local-homeomorphisms 
IS  - Issue 2 (March 2026) 
VL  - 17 
ER  -