Producción Científica Profesorado
Continuity of Jones' function is not preserved under monotone mappings
Leonel Gómez, Rocío
2017
Alejandro Illanes, Rocío Leonel, Continuity of Jones' function is not preserved under monotone mappings, In Topology and its Applications, Volume 231, 2017, Pages 136-158, ISSN 0166-8641, https://doi.org/10.1016/j.topol.2017.08.012.(http://www.sciencedirect.com/science/article/pii/S0166864117303929)
Abstract
We show two metric continua X and Z and a monotone surjective mapping f:X?Z such that the Jones' function T is continuous for X, but it is not continuous for Z. This answers a question by D. P. Bellamy.Keywords: Continuous decomposition; Continuum; Indecomposable; Monotone mapping; Set function T; Terminal subcontinuum
