Abstract
We study the coincidence problem (i.e., the possibility of annihilating the coincidences of a pair of maps by way of homotopy deformations) for pairs of maps from a closed surface into a graph. We consider maps which may be decomposed as two auxiliary maps, according to a decomposition of the surface as a connected sum.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Fenille, M.C.: Coincidence of maps from two-complexes into graphs. Topol. Methods Nonlinear Anal. 42(1), 193–206 (2013)
Fenille, M.C., Neto, O.M.: Root problem for convenient maps. Topol. Methods Nonlinear Anal. 36(2), 327–352 (2010)
Lyndon, R.C., Schützenberger, M.P.: The equation \(a^m=b^nc^p\) in a free group. Mich. Math. J. 9, 289–298 (1962)
Massey, W.S.: Algebraic Topology: An Introduction. Springer, Berlin (1990)
Sieradski, A.J.: Algebraic topology for two-dimensional complexes. In: Hog-Angeloni, C., Metzler, W., Sieradski, A.J. (eds.) Two-dimensional Homotopy and Combinatorial Group Theory, pp. 51–96. Cambridge University Press, Cambridge (1993)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Fenille, M.C. Coincidence of maps from connected sums of closed surfaces into graphs. J. Fixed Point Theory Appl. 23, 17 (2021). https://doi.org/10.1007/s11784-021-00855-3
Accepted:
Published:
DOI: https://doi.org/10.1007/s11784-021-00855-3