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Volumn 14, Issue 2, 2003, Pages 191-209

Excision for simplicial sheaves on the Stein site and Gromov's Oka principle

Author keywords

Excision; Model category; Oka Principle; Simplicial sheaf; Stein manifold

Indexed keywords


EID: 0037356794     PISSN: 0129167X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0129167X03001727     Document Type: Article
Times cited : (12)

References (33)
  • 1
    • 0000790006 scopus 로고
    • Algebraic K-theory as generalized sheaf cohomology
    • Algebraic K-theory, I: Higher K-theories, Proc. Conf., Battelle Memorial Inst., Seattle, Wash., Springer-Verlag
    • K. S. Brown and S. M. Gersten, Algebraic K-theory as generalized sheaf cohomology, in Algebraic K-theory, I: Higher K-theories, Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972, Lecture Notes in Mathematics 341, Springer-Verlag, 1973, pp. 266-292.
    • (1972) Lecture Notes in Mathematics , vol.341 , pp. 266-292
    • Brown, K.S.1    Gersten, S.M.2
  • 2
    • 0001850188 scopus 로고
    • Levisches problem und rungescher satz für teilgebiete steinscher mannigfaltigkeiten
    • F. Docquier and H. Grauert, Levisches Problem und Rungescher Satz für Teilgebiete Steinscher Mannigfaltigkeiten, Math. Ann. 140 (1960), 94-123.
    • (1960) Math. Ann. , vol.140 , pp. 94-123
    • Docquier, F.1    Grauert, H.2
  • 4
    • 0001469135 scopus 로고
    • Embeddings of Stein manifolds of dimension n into the affine space of dimension 3n/2 + 1
    • Y. Eliashberg and M. Gromov, Embeddings of Stein manifolds of dimension n into the affine space of dimension 3n/2 + 1, Ann. Math. 136 (1992), 123-135.
    • (1992) Ann. Math. , vol.136 , pp. 123-135
    • Eliashberg, Y.1    Gromov, M.2
  • 8
    • 0036026927 scopus 로고    scopus 로고
    • The Oka principle for sections of subelliptic submersions
    • _, The Oka principle for sections of subelliptic submersions, Math. Z. 241 (2002), 527-551.
    • (2002) Math. Z. , vol.241 , pp. 527-551
  • 9
    • 0034394439 scopus 로고    scopus 로고
    • Oka's principle for holomorphic fiber bundles with sprays
    • F. Forstnerič and J. Prezelj, Oka's principle for holomorphic fiber bundles with sprays, Math. Ann. 317 (2000), 117-154.
    • (2000) Math. Ann. , vol.317 , pp. 117-154
    • Forstnerič, F.1    Prezelj, J.2
  • 10
    • 0035625661 scopus 로고    scopus 로고
    • Extending holomorphic sections from complex subvarieties
    • _, Extending holomorphic sections from complex subvarieties, Math. Z. 236(2001), 43-68.
    • (2001) Math. Z. , vol.236 , pp. 43-68
  • 11
    • 0036012973 scopus 로고    scopus 로고
    • Oka's principle for holomorphic submersions with sprays
    • _, Oka's principle for holomorphic submersions with sprays, Math. Ann. 322(2002), 633-666.
    • (2002) Math. Ann. , vol.322 , pp. 633-666
  • 14
    • 84968495646 scopus 로고
    • Oka's principle for holomorphic sections of elliptic bundles
    • M. Gromov, Oka's principle for holomorphic sections of elliptic bundles, J. Amer. Math. Soc. 2 (1989), 851-897.
    • (1989) J. Amer. Math. Soc. , vol.2 , pp. 851-897
    • Gromov, M.1
  • 15
  • 18
  • 19
    • 0001141968 scopus 로고    scopus 로고
    • Boolean localization, in practice
    • _, Boolean localization, in practice, Doc. Math. 1 (1996), 245-275.
    • (1996) Doc. Math. , vol.1 , pp. 245-275
  • 20
    • 0003206238 scopus 로고
    • Holomorphic vector bundles and the Oka-Grauert principle
    • Several Complex Variables IV, Springer-Verlag
    • J. Leiterer, Holomorphic Vector Bundles and the Oka-Grauert Principle, Several Complex Variables IV, Encyclopaedia of Mathematical Sciences 10, Springer-Verlag, 1990, pp. 63-103.
    • (1990) Encyclopaedia of Mathematical Sciences , vol.10 , pp. 63-103
    • Leiterer, J.1
  • 21
    • 0003356529 scopus 로고
    • Categories for the working mathematician
    • Springer-Verlag
    • S. Mac Lane, Categories for the Working Mathematician, Graduate Texts in Mathematics 5, Springer-Verlag, 1971.
    • (1971) Graduate Texts in Mathematics , vol.5
    • Mac Lane, S.1
  • 23
    • 0012882014 scopus 로고    scopus 로고
    • A concise course in algebraic topology
    • The University of Chicago Press
    • J. P. May, A Concise Course in Algebraic Topology, Chicago Lectures in Mathematics, The University of Chicago Press, 1999.
    • (1999) Chicago Lectures in Mathematics
    • May, J.P.1
  • 24
    • 0002982313 scopus 로고
    • Singular points of complex hypersurfaces
    • Princeton University Press
    • J. Milnor, Singular Points of Complex Hypersurfaces, Annals of Mathematics Studies 61, Princeton University Press, 1968.
    • (1968) Annals of Mathematics Studies , vol.61
    • Milnor, J.1
  • 25
    • 0040875660 scopus 로고    scopus 로고
    • Hypercohomology spectra and Thomason's descent theorem, algebraic K-theory
    • Toronto, ON, American Mathematics Society
    • S. A. Mitchell, Hypercohomology Spectra and Thomason's Descent Theorem, Algebraic K-theory, Toronto, ON, 1996, Fields Institute Communications 16, American Mathematics Society, 1997.
    • (1996) Fields Institute Communications , vol.16
    • Mitchell, S.A.1
  • 27
    • 0003299223 scopus 로고
    • Elementary differential topology
    • revised edition, Princeton University Press
    • J. R. Munkres, Elementary Differential Topology, Annals of Mathematics Studies 54, revised edition, Princeton University Press, 1966.
    • (1966) Annals of Mathematics Studies , vol.54
    • Munkres, J.R.1
  • 29
    • 0041047522 scopus 로고    scopus 로고
    • Embeddings of stein Spaces into affine spaces of minimal dimension
    • J. Schürmann, Embeddings of Stein spaces into affine spaces of minimal dimension, Math. Ann. 307 (1997), 381-399.
    • (1997) Math. Ann. , vol.307 , pp. 381-399
    • Schürmann, J.1
  • 30
    • 0002483308 scopus 로고
    • Every Stein subvariety admits a Stein neighborhood
    • Y.-T. Siu, Every Stein subvariety admits a Stein neighborhood, Invent. Math. 38 (1976), 89-100.
    • (1976) Invent. Math. , vol.38 , pp. 89-100
    • Siu, Y.-T.1
  • 33
    • 0012892477 scopus 로고    scopus 로고
    • Voevodsky's Seattle lectures: K-theory and motivic cohomology
    • Algebraic K-theory, Seattle, WA, Amer. Math. Soc.
    • _, Voevodsky's Seattle lectures: K-theory and motivic cohomology, in Algebraic K-theory, Seattle, WA, 1997, Proceedings of Symposia in Pure Mathematics 67, Amer. Math. Soc., 1999.
    • (1997) Proceedings of Symposia in Pure Mathematics , vol.67


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.