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This article is cited in 13 scientific papers (total in 13 papers)
Research Papers
Elements of Morse theory on Aleksandrov spaces
G. Ya. Perel'man
St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
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St. Petersburg Mathematical Journal, 1994, 5:1, 205–213
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Received: 02.09.1992
Citation:
G. Ya. Perel'man, “Elements of Morse theory on Aleksandrov spaces”, Algebra i Analiz, 5:1 (1993), 232–241; St. Petersburg Math. J., 5:1 (1994), 205–213
Citation in format AMSBIB
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\by G.~Ya.~Perel'man
\paper Elements of Morse theory on Aleksandrov spaces
\jour Algebra i Analiz
\yr 1993
\vol 5
\issue 1
\pages 232--241
\mathnet{http://mi.mathnet.ru/aa374}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1220498}
\zmath{https://zbmath.org/?q=an:0815.53072}
\transl
\jour St. Petersburg Math. J.
\yr 1994
\vol 5
\issue 1
\pages 205--213
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http://mi.mathnet.ru/eng/aa374 http://mi.mathnet.ru/eng/aa/v5/i1/p232
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This publication is cited in the following articles:
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PERELMAN, G, “WIDTHS OF NONNEGATIVELY CURVED SPACES”, Geometric and Functional Analysis, 5:2 (1995), 445
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Petrunin, A, “Parallel transportation for Alexandrov space with curvature bounded below”, Geometric and Functional Analysis, 8:1 (1998), 123
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Petrunin, A, “Collapsing vs. positive pinching”, Geometric and Functional Analysis, 9:4 (1999), 699
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Menguy, X, “Noncollapsing examples with positive Ricci curvature and infinite topological type”, Geometric and Functional Analysis, 10:3 (2000), 600
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Zamfirescu, T, “On the cut locus in Alexandrov spaces and applications to convex surfaces”, Pacific Journal of Mathematics, 217:2 (2004), 375
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Sormani, C, “Universal covers for Hausdorff limits of noncompact spaces”, Transactions of the American Mathematical Society, 356:3 (2004), 1233
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St. Petersburg Math. J., 17:3 (2006), 477–491
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Worner A., “A Splitting Theorem for Nonnegatively Curved Alexandrov Spaces”, Geom. Topol., 16:4 (2012), 2391–2426
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Mitsuishi A. Yamaguchi T., “Collapsing Three-Dimensional Closed Alexandrov Spaces With a Lower Curvature Bound”, Trans. Am. Math. Soc., 367:4 (2015), PII S0002-9947(2014)06091-1, 2339–2410
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Chen X. Grove K., “Rigidity Theorems For Submetries in Positive Curvature”, Adv. Math., 289 (2016), 784–796
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St. Petersburg Math. J., 29:1 (2018), 3–31
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Harvey J. Searle C., “Orientation and Symmetries of Alexandrov Spaces With Applications in Positive Curvature”, J. Geom. Anal., 27:2 (2017), 1636–1666
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Galaz-Garcia F., Zarei M., “Cohomogeneity One Topological Manifolds Revisited”, Math. Z., 288:3-4 (2018), 829–853
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