Grigori Perelman, Elements of Morse theory on Alexandrov spaces, St. Petersburg Math. J. 5 1 (1994) 205–213 [mathet:aa374]
Grigori Perelman, DC structure on Alexandrov spaces [pdf, pdf]
Yuri Burago, Mikhail Gromov, Grigori Perelman, Alexandrov spaces with curvature bounded below, Russ. Math. Surveys 41 3 (1992) 1-54 [doi:10.1070/RM1992v047n02ABEH000877, pdf]
Central part of the proof of the Poincaré conjecture:
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