Noncritical maps on geodesically complete spaces with curvature bounded above
نویسندگان
چکیده
We define and study the regularity of distance maps on geodesically complete spaces with curvature bounded above. prove that such a regular map is locally Hurewicz fibration. This can be regarded as dual concept Perelman's in geometry Alexandrov below. As corollary we obtain sphere theorem for CAT(1) spaces.
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ژورنال
عنوان ژورنال: Annals of Global Analysis and Geometry
سال: 2022
ISSN: ['1572-9060', '0232-704X']
DOI: https://doi.org/10.1007/s10455-022-09865-x