Universität zu Köln

Lytchak, Alexander and Nagano, Koichi (2019). Geodesically complete spaces with an upper curvature bound. Geom. Funct. Anal., 29 (1). S. 295 - 343. BASEL: SPRINGER BASEL AG. ISSN 1420-8970

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Abstract

We study geometric and topological properties of locally compact, geodesically complete spaces with an upper curvature bound. We control the size of singular subsets, discuss homotopical and measure-theoretic stratifications and regularity of the metric structure on a large part.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Lytchak, Alexander UNSPECIFIED UNSPECIFIED UNSPECIFIED Nagano, Koichi UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-157240
DOI:	10.1007/s00039-019-00483-7
Journal or Publication Title:	Geom. Funct. Anal.
Volume:	29
Number:	1
Page Range:	S. 295 - 343
Date:	2019
Publisher:	SPRINGER BASEL AG
Place of Publication:	BASEL
ISSN:	1420-8970
Language:	English
Faculty:	Faculty of Mathematics and Natural Sciences
Divisions:	Faculty of Mathematics and Natural Sciences > Department of Mathematics and Computer Science > Mathematical Institute
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language LOCAL-STRUCTURE; METRIC-SPACES; RIGIDITY; THEOREM Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/15724