
TL;DR
This paper classifies the diffeomorphism types of three- and four-dimensional real Bott towers, showing there are four and twelve distinct classes respectively, based on the action of $(bZ_2)^n$ on $(S^1)^n$.
Contribution
It establishes the exact number of diffeomorphism classes for 3D and 4D real Bott towers, providing a complete classification.
Findings
4 diffeomorphism classes in 3D
12 diffeomorphism classes in 4D
Classification based on group actions
Abstract
In this paper, we proved that there exist four distinct diffeomorphism classes of three-dimensional real Bott tower , and 12 distinct diffeomorphism classes of four-dimensional real Bott tower , where matrix corresponds to the action of on for n=3,4.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Cellular Automata and Applications · Computability, Logic, AI Algorithms
