Whitney levels and certain order arc spaces

Autor:	Mark Lynch
Jazyk:	angličtina
Předmět:	Homotopy Whitney conditions Order (ring theory) shape Whitney levels Combinatorics Arc (geometry) Hyperspace ANR Whitney maps Continuum (set theory) Geometry and Topology Order arc spaces in hyperspaces Mathematics AR
Zdroj:	Topology and its Applications. (2):189-200
ISSN:	0166-8641
DOI:	10.1016/0166-8641(91)90084-Y
Popis:	Let X be a metric continuum, μ: C(X) →[0, 1] a Whitney map with C(X) the hyperspace of subcontinua of X , and Λ l s ( X )={order arcs α ∣ α (0)∈ μ −1 ([ s , t ]) and α (1)={ X }}. In this paper, we study the relationships between the Whitney intervals μ −1 ([ s,t ]) and the order arc spaces Λ l s ( X ). We give applications to Whitney properties and obtain some shape and homotopy results about Whitney levels.
Databáze:	OpenAIRE
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