JOURNAL ARTICLE

Compactness of sequences of warped product length spaces.

  • Published In: Journal of Topology & Analysis, 2026, v. 18, n. 4. P. 1065 1 of 3

  • Database: Mathematics Source 2 of 3

  • Authored By: Allen, Brian; Sanchez, Bryan; Torres, Yahaira 3 of 3

Abstract

If we consider a sequence of warped product length spaces, what conditions on the sequence of warping functions imply compactness of the sequence of distance functions? In particular, we want to know when a subsequence converges to a well-defined metric space on the same manifold with the same topology. What conditions on the sequence of warping functions imply Lipschitz bounds for the sequence of distance functions and/or the limiting distance function? In this paper we give answers to both of these questions as well as many examples which elucidate the theorems and show that our hypotheses are necessary. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Journal of Topology & Analysis. 2026/08, Vol. 18, Issue 4, p1065
  • Document Type:Article
  • Subject Area:Physics
  • Publication Date:2026
  • ISSN:1793-5253
  • DOI:10.1142/S1793525325500049
  • Accession Number:192030741
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