State-sum Invariants of Knotted Curves and Surfaces from.. - Carter, Jelsovsky, al. (1999)(Correct)
G if G =Z as usual. We denote by fi W n (X) the Betti numbers of X determined by the homology group H
groups defined in [14, 15]Lower bounds of the Betti numbers of these groups were given in [7] using
S.Saito, M.Quandle Homology Groups, Their Betti Numbers, and Virtual Knots, to appear in J. of www.math.usf.edu/~saito/birthday.ps
Simple and Optimal Output-Sensitive Construction of.. - Chiang, Lenz, Lu, Rote (2004)(Correct)(2 citations)
elegant algorithm for computing and associating the Betti numbers (0 ,1 ,2 )withthecontour topology
they also gave a very nice method to associate the Betti numbers to the contour tree to enable the
4.1.0.11. 7.2 Extensions and Future Work 7.2.0.14 Betti Numbers. In three dimensions, each edge of the page.inf.fu-berlin.de/~rote/Papers/pdf/Simple+and+output-sensitive+construction+of+contour+trees+using+monotone+paths.pdf
Representations of Orbifold Groups and Parabolic Bundles - Boden (1990)(Correct)(1 citation)
(x4 and 5 of [12]to find the intersection Betti numbers of this component (up to 2-torsion)In a
these cases, is sharp. These bounds on the second Betti number b 2 generalize as follows. Since S is a
b 2i\Gamma2 i X r=0 n r among the Betti numbers b 2i This, in turn, yields bounds on www-math.mps.ohio-state.edu/~boden/preprints/hub1.ps
The Theta Divisor and Three-Manifold Invariants - Ozsváth, Szabó (2000)(Correct)
Let Y be an oriented three-manifold whose first Betti number b 1 (Y )0. In this paper, we study a
the paper, we work with three-manifolds whose first Betti number is positive. In the case where b 1 (Y )
freedom in perturbing the invariant when the second Betti number is large. But the same general idea works www.math.princeton.edu/~szabo/theta.ps
Mixin and Class Subtyping Hierarchies in a Mobile Setting - Lorenzo Bettini Viviana(Correct)
Hierarchies in a Mobile Setting Lorenzo Bettini 1 Viviana Bono 2 Betti Venneri 1 1
Setting Lorenzo Bettini 1 Viviana Bono 2 Betti Venneri 1 1 Dipartimento di Sistemi e
di Sistemi e Informatica, Universit a di Firenze, bettini,venneri}dsi.unifi.it 2 Dipartimento di www.di.unito.it/~bono/papers/momisubtype.pdf
Planar Graphs As Minimal Resolutions Of Trivariate Monomial Ideals - Miller (2002)(Correct)(4 citations)
rigid embedding 20 Part 2. Monomial ideals 22 6. Betti numbers 22 7. Cellular resolutions 23 8. Graphs
in G from !to Part 2. Monomial ideals 6. Betti numbers Let k be a eld, and consider the
(for any such direct sum decomposition)The Betti number iI V )is the number of m ip equal www-math.mit.edu/~ezra/GraphMinRes/graphMinRes.ps.gz
Topological Methods in Combinatorics - Lovász (1996)(Correct)
of K. 1.3 Homology groups Homology groups, Betti numbers, Euler characteristic. 2 Homotopy
Soc. 17 (1966) 1120-1124. 36] J. Milnor: On the Betti numbers of real algebraic varieties, Proc. Amer. www.cs.yale.edu/HTML/YALE/CS/HyPlans/lovasz/top.ps
Unknown -(Correct)
J. Mossiuo, N.M. Rice, G. Talenti, G. Trom- betti (mentioning only someoue) the notiou of www.dm.unibo.it/libradm/preprints/2003/ravaglia/preprint0303.ps.gz
Lombaert, G. - Grande The Modelling(Correct)
field soil response is calculated with the dynamic Betti-Rayleigh reciprocity theorem, using a transfer
formulation is based on the formulation of the Betti-Rayleigh reciprocity theorem in the
to the moving dynamic axle loads The dynamic Betti-Rayleigh reciprocal theorem is used to calculate www.bwk.kuleuven.ac.be/bwm/papers/lombip01a.pdf
New Einstein Metrics in Dimension Five - Boyer, Galicki (2001)(Correct)
the links. This allows us to determine the second Betti number of the link. Then using a method of
polynomial A(t) det(tl[h,namely the Betti number b(L) bn-1 (Lj,equals the number of
of the root I in A(t) is precisely the second Betti number of Lf we have an immediate corollary of math.math.unm.edu/~galicki/papers/../papers/pdf/jdg01.pdf