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  2. Algebraic Geometry IID 2013 7 Divisors on curves For ...

    https://www.dpmms.cam.ac.uk/~ajs1005/ag2d/agIId_s7-10.pdf
    18 Mar 2013: It is not hard to show that P is just the module of differentials OP /k.). ... Proof. Obviously OP dπP P. Let f = f(P) πP g OP = k mP.
  3. Hopf measuring comonoids and enrichment

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2017/hlfv17.pdf
    4 Apr 2018: P : Mon(V)op Mon(V) Comon(V) (30)is called the Sweedler hom in [4]. ... The functor P (, ) : Mon(V)op Mon(V) Comon(V) is continuousin each variable.
  4. 10 Feb 2006: Ïf]WZp[Ñ<&&cfeEpOCWZooÇe;]lY[[XCf[;][Y[;O)£zËEszW¡Ô+[;<f{ Ð []fe»[;:p_[6a?ooacfÑÑda[Ipf?phËEsÕtÖ}:oZoCX{McÑÑ)[Op<fMpuË;i¤yy;yËEsz&l[Ce;]lY[[nl1up}ØÙ{Ã[;]. ... Ñ)][]p<Wo :c]eEpW]æhCW¡eCWoZo
  5. Combining algebraic effects with continuations Martin Hyland,1 Paul…

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2007/hlpp07.pdf
    7 Aug 2008: Let us now consider algebraic operations op : (RR)I (RR)O of arity. ... op′X> (T ′X)O. Conversely, if op, op′ are algebraic operations such that the above diagram com-mutes then op′ can be obtained from op by the above process,
  6. 31 Jan 2007: "!$#&%')(,.-0/214356,8793:<;='>:(?4@ ,.ACBED>79FG?4@IHKJ+@@LNM. O QPSRUTV2WYXZX W0" [ ])_ab>cW0d efhgjiZkml+ZnNbXopqb]KXr W srtX"u]Wv" [w ]kPSRqRxT>lZnyzXro{e|d" "efYrt ][w }Xr W sRqCgjikt ][w >kml+ZnNzXro{uowuaRxus4e|Yd efYKX WY rc" [
  7. 3geom19corr.dvi

    https://www.dpmms.cam.ac.uk/study/IB/Geometry/2018-2019/geom19ex3ii.pdf
    12 Mar 2019: Part IB GEOMETRY (Lent 2019): Example Sheet 3. (jb128@dpmms.cam.ac.uk). 1. Let V be the open subset {0 < u < π, 0 < v < 2π}, and σ : V S2 be given by. σ(u, v) = (sin u cos v, sin u sin v, cos u). Prove that σ defines a smooth parametrization of
  8. 14 Feb 2007: "!$#&%')(,.-0/214356,8793:<;='>:(?4@ ,.ACBED>79FG?4@IHKJ+@@LNM. OPQP RSUT">RQVWRXKYZ[U 0] Y_a[bcdRSe"fKRSWgh[ P RSi P RXY_]RQejRQk_RSml. n op deWUdKWqi bkb[UYZrjsturvj]wxW0 ... u P __z]w9rIRX0U ]_UR|wdzw" 08 n WdfWdRSwzRXKR P i.]_UWghRXK[RS[KWU]W n) z]Uk
  9. Analysis II Michaelmas 2016 Example Sheet 4 1. (a) ...

    https://www.dpmms.cam.ac.uk/study/IB/AnalysisII/2016-2017/16sheet4.pdf
    21 Nov 2016: 10. Let f : Rn Rn be a C1 map. Suppose that there is some constant µ < 1 such that‖Df|x I‖op µ for all x Rn.
  10. Example Sheet 3, Geometry 2005 pmhw@dpmms.cam.ac.uk (1) Show the ...

    https://www.dpmms.cam.ac.uk/study/IB/Geometry/2004-2005/Geom05.3.pdf
    21 May 2005: OP , where O denotes the origin. (2) Let V be the open subset {0 < u < π, 0 < v < 2π}, and σ : V S2 be given by.
  11. 13 Feb 2006: "$#&%')(,.-0/214356,8793:<;='>:(?4@ ,.ACBED>79FG?4@IHKJ+@@LNM. OPQP RSUT>RQVWRXKYZ[U 0] Y_a[bcdRSefKRSWgh[ P RSi P RXY_]RQejRQk_RSmln op deWUdKWqi bkb[UYZrjsturvj]wxW0 RSUTKr0sdyrvjRXz ... nK h j[RS}RQRSR>op deWU]KW0R P i_ P z>w VRXkb P RQgrh}RQeb

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