@article{3292c0ab13d041a0b82263b42b13e9b8,
title = "Local characterization of polyhedral spaces",
abstract = "We show that a compact length space is polyhedral if a small spherical neighborhood of any point is conic.",
author = "Nina Lebedeva and Anton Petrunin",
note = "Funding Information: N. Lebedeva was partially supported by RFBR Grant 14-01-00062. A. Petrunin was partially supported by NSF Grant DMS 1309340. Publisher Copyright: {\textcopyright} 2015, Springer Science+Business Media Dordrecht.",
year = "2015",
month = dec,
day = "1",
doi = "10.1007/s10711-015-0072-x",
language = "English (US)",
volume = "179",
pages = "161--168",
journal = "Geometriae Dedicata",
issn = "0046-5755",
publisher = "Springer Netherlands",
number = "1",
}