TY - JOUR
T1 - MORE about CANTOR LIKE SETS in HYPERBOLIC NUMBERS
AU - Téllez-Sánchez, Gamaliel Yafte
AU - Bory-Reyes, Juan
N1 - Publisher Copyright:
© 2017 World Scientific Publishing Company.
PY - 2017/10/1
Y1 - 2017/10/1
N2 - In this paper, we discuss the construction of new Cantor like sets in the hyperbolic plane. Also, we study the arithmetic sum of two of these Cantor like sets, as well as of those previously introduced in the literature. An hyperbolization, in the sense of Gromov, of the commutative ring of hyperbolic numbers is also given. Finally, we present the construction of a Cantor-type set as hyperbolic boundary.
AB - In this paper, we discuss the construction of new Cantor like sets in the hyperbolic plane. Also, we study the arithmetic sum of two of these Cantor like sets, as well as of those previously introduced in the literature. An hyperbolization, in the sense of Gromov, of the commutative ring of hyperbolic numbers is also given. Finally, we present the construction of a Cantor-type set as hyperbolic boundary.
KW - Cantor Set
KW - Fractal Carpets
KW - Gromov Hyperbolic Space
KW - Hyperbolic Boundary
KW - Hyperbolic Numbers
UR - http://www.scopus.com/inward/record.url?scp=85027168905&partnerID=8YFLogxK
U2 - 10.1142/S0218348X17500463
DO - 10.1142/S0218348X17500463
M3 - Artículo
SN - 0218-348X
VL - 25
JO - Fractals
JF - Fractals
IS - 5
M1 - 1750046
ER -