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  2. ON THE GROWTH RATE OF CONTRACTIBLE CLOSEDGEODESICS ON REDUCIBLE ...

    https://www.dpmms.cam.ac.uk/~gpp24/closedgeo.pdf
    28 May 2004: If c does not reduce to a point, then the isotropy group of c is afinite subgroup of S1 isomorphic to Zk for some k 1. ... If X2 is not a homotopy sphere,there is a minimal degree in which its homology is non-trivial for some coefficientfield kp.
  3. The language and grammar ofmathematics 1 Introduction It is ...

    https://www.dpmms.cam.ac.uk/~wtg10/grammar.pdf
    7 Oct 2004: Here are two ex-amples. First, in elementary geometry one some-times cares about shapes but not about sizes. ... Some-times, actual elimination is not possible, but onefeels it could be done in principle.
  4. Abstract Interpretation of Proofs: ClassicalPropositional Calculus…

    https://www.dpmms.cam.ac.uk/~jmeh1/Research/Publications/2004/aap04.pdf
    6 Jul 2004: How-ever I follow some computer science communities by using diagrammatic mota-tion for composition:. ... Also the interpretation is not sensitive to negation. Despitethat the intrepretation does detect some structural features of proofs.
  5. 21 Oct 2004: If a, b S, then a L and b K for some specialchains. ... Let A be the closedBanach algebra generated by e and some a B.
  6. Topics in Combinatorics W.T. Gowers, F.R.S. Lent 2004 1 ...

    https://www.dpmms.cam.ac.uk/~par31/notes/tic.pdf
    13 Nov 2004: 2|A B|2. Hence there is some set C such thate(C, C) 1. ... ij2 , B. ij1 and B. ij2 is a union of some of the Xih.
  7. 27 Jan 2004: chain in (M̃,x,y). The image of this (i 1)-chain is contained in some compact. ... The largest such m is calledthe multiplicity of the fibre. Multiple fibres can only be of type Ik for some k.

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