Decomposition Theorems

Sergio Macías
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Sergio Macías: Universidad Nacional Autónoma de México, Instituto de Matemáticas

Chapter Chapter 5 in Topics on Continua, 2018, pp 203-245 from Springer

Abstract: Abstract We present a proof of Jones’s Aposyndetic Decomposition Theorem and Rogers’s Terminal Decomposition Theorem. These theorems are proven using Jones’s set function T $$\mathcal {T}$$ (Chap. 3 ) and Effros’s Theorem (Chap. 4 ). We also give a construction of the Case continuum and present a sketch of the construction of the Minc–Rogers continua. Finally, we study covering spaces of any solenoid, the Menger curve, the Case continuum and one of the Minc–Rogers examples.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-90902-8_5

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DOI: 10.1007/978-3-319-90902-8_5

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