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- Title
THE (LARGEST) LEBESGUE NUMBER AND ITS RELATIVE VERSION.
- Authors
TONIĆ, VERA
- Abstract
In this paper we compare different definitions of the (largest) Lebesgue number of a cover U for a metric space X. We also introduce the relative version for the Lebesgue number of a covering family U for a subset A ⊆ X, and justify the relevance of introducing it by giving a corrected statement and proof of the Lemma 3.4 from [BL07], involving λ-quasi homothetic maps with coefficient R between metric spaces and the comparison of the mesh and the Lebesgue number of a covering family for a subset on both sides of the map.
- Subjects
LEBESGUE integral; ASYMPTOTIC normality; GEOMETRY; CURVES; GENERALIZED integrals
- Publication
Rad HAZU: Matematicke Znanosti, 2023, Vol 27, p231
- ISSN
1845-4100
- Publication type
Article
- DOI
10.21857/94kl4clkom