On a Decomposition of the Bicomplex of Planar Binary Trees

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Gürbüzer S. K., Akyar B.

Workshop on Algebraic and Applied Topology, İzmir, Turkey, 19 April 2019

  • Publication Type: Conference Paper / Unpublished
  • City: İzmir
  • Country: Turkey
  • Dokuz Eylül University Affiliated: Yes

Abstract

In this talk, we will introduce some simplicial properties of the set of

planar binary trees and a decomposition of the bicomplex into vertical

towers given Frabetti [1].

Keywords: Binary tree, simplicial set, bicomplex

References

[1] Frabetti, A., Simplicial properties of the set of planar binary trees. Journal of Algebraic Com-

binatorics, 32, 41-65,(2001).

[2] Loday J.L., Arithmetree, Journal of Algebra 258, 275-309. (2002)