Topology Of The Random Fibonacci Tiling Space

• Main Authors: Gahler, Franz, Miro, Eden Delight
• Format: text
• Published: Archīum Ateneo 2013
• Subjects: Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/19; https://arxiv.org/abs/1312.4897
• Institution: Ateneo De Manila University

We look at the topology of the tiling space of locally random Fibonacci substitution, which is defined as a 7→ ba with probability p, a 7→ ab with probability 1 − p and b 7→ a for 0 < p < 1. We show that its Cech cohomology ˇ group is not finitely generated, in contrast to the case where rando...