Smooth p-adic analytic spaces are locally contractible | Zendy

Vladimir G. Berkovich | Zendy

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Smooth p-adic analytic spaces are locally contractible

Author(s) -

Vladimir G. Berkovich

Publication year - 1999

Publication title -

inventiones mathematicae

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 5.536

H-Index - 125

eISSN - 1432-1297

pISSN - 0020-9910

DOI - 10.1007/s002220050323

Subject(s) - mathematics , contractible space , sheaf , pure mathematics , cohomology , fibration , piecewise linear function , piecewise , constant (computer programming) , mathematical analysis , homotopy , computer science , programming language

0 Introduction 293 1 Piecewise RS -linear spaces 298 2 R-colored polysimplicial sets 308 3 R-colored polysimplicial sets of length l 313 4 The skeleton of a nondegenerate pluri-stable formal scheme 327 5 A colored polysimplicial set associated with a nondegenerate poly-stable fibration 336 6 p-Adic analytic and piecewise linear spaces 346 7 Strong local contractibility of smooth analytic spaces 355 8 Cohomology with coefficients in the sheaf of constant functions 362

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