Jingyan Li, Jie Wu, Shing-Tung Yau, Mengmeng Zhang
Published 2024-02-02, updated 2024-04-12Version 2
We introduce homotopy groups of digraphs that admit an intuitive description of grid structures, which is a variation of the GLMY homotopy groups introduced by Grigor'yan, Lin, Muranov and Yau in [21]. Furthermore, we prove that there exists a long exact sequence of homotopy groups of digraphs associated to any based digraph map, that is, there exists a digraph version of the Puppe sequence.
Some results in quasitopological homotopy groups
The long exact sequence of homotopy $n$-groups
Smith homomorphisms and Spin$^h$ structures
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