Induced Maps on n-Fold Hyperspaces

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

Chapter Chapter 8 in Topics on Continua, 2018, pp 371-426 from Springer

Abstract: Abstract We begin considering some classes of maps between continua proving some of their general properties. Then we consider the following problem: Let A $${\mathcal {A}}$$ be class of maps. What are the relationships between the following statements: (1) f ∈ A $$f\in {\mathcal {A}}$$ ; (2) C n ( f ) ∈ A $${\mathcal {C}}_n(f)\in {\mathcal {A}}$$ ; (3) H S n ( f ) ∈ A $$HS_n(f)\in {\mathcal {A}}$$ ?

Date: 2018
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DOI: 10.1007/978-3-319-90902-8_8

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