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Author: Victor Lenard Shapiro
Publisher: American Mathematical Soc.
ISBN: 0821827170
Category : Mathematics
Languages : en
Pages : 191
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Book Description
This book is intended for graduate students and research mathematicians interested in partial differential equations.
Author: Victor Lenard Shapiro
Publisher: American Mathematical Soc.
ISBN: 0821827170
Category : Mathematics
Languages : en
Pages : 191
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Book Description
This book is intended for graduate students and research mathematicians interested in partial differential equations.
Author: Reinhard Höpfner
Publisher: American Mathematical Soc.
ISBN: 082183231X
Category : Mathematics
Languages : en
Pages : 105
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Book Description
Author: Markus Banagl
Publisher: American Mathematical Soc.
ISBN: 0821829882
Category : Mathematics
Languages : en
Pages : 101
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Book Description
Intersection homology theory provides a way to obtain generalized Poincare duality, as well as a signature and characteristic classes, for singular spaces. For this to work, one has had to assume however that the space satisfies the so-called Witt condition. We extend this approach to constructing invariants to spaces more general than Witt spaces.
Author: Milé Krajčevski
Publisher: American Mathematical Soc.
ISBN: 0821827626
Category : Mathematics
Languages : en
Pages : 74
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Book Description
This book is intended for graduate students and research mathematicians interested in group theory and generalizations.
Author: M. A. Mandell
Publisher: American Mathematical Soc.
ISBN: 082182936X
Category : Mathematics
Languages : en
Pages : 125
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Book Description
The last few years have seen a revolution in our understanding of the foundations of stable homotopy theory. Many symmetric monoidal model categories of spectra whose homotopy categories are equivalent to the stable homotopy category are now known, whereas no such categories were known before 1993. The most well-known examples are the category of $S$-modules and the category of symmetric spectra. We focus on the category of orthogonal spectra, which enjoys some of the best features of $S$-modules and symmetric spectra and which is particularly well-suited to equivariant generalization. We first complete the nonequivariant theory by comparing orthogonal spectra to $S$-modules. We then develop the equivariant theory.For a compact Lie group $G$, we construct a symmetric monoidal model category of orthogonal $G$-spectra whose homotopy category is equivalent to the classical stable homotopy category of $G$-spectra. We also complete the theory of $S_G$-modules and compare the categories of orthogonal $G$-spectra and $S_G$-modules. A key feature is the analysis of change of universe, change of group, fixed point, and orbit functors in these two highly structured categories for the study of equivariant stable homotopy theory.
Author: Su Gao
Publisher: American Mathematical Soc.
ISBN: 0821831909
Category : Mathematics
Languages : en
Pages : 93
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Book Description
Author: U. Haagerup
Publisher: American Mathematical Soc.
ISBN: 0821832719
Category : Mathematics
Languages : en
Pages : 82
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Book Description
Let $\mathcal N$ and $\mathcal M$ be von Neumann algebras. It is proved that $L DEGREESp(\mathcal N)$ does not linearly topologically embed in $L DEGREESp(\mathcal M)$ for $\mathcal N$ infinite, $\mathcal M$ finit
Author: José Ignacio Cogolludo-Agustín
Publisher: American Mathematical Soc.
ISBN: 0821829424
Category : Mathematics
Languages : en
Pages : 97
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Book Description
The authors analyse two topological invariants of an embedding of an arrangement of rational plane curves in the projective complex plane, namely, the cohomology ring of the complement and the characteristic varieties. Their main result states that the cohomology ring of the complement to a rational arrangement is generated by logarithmic 1 and 2-forms and its structure depends on a finite number of invariants of the curve (its combinatorial type).
Author: Donald M. Davis
Publisher: American Mathematical Soc.
ISBN: 0821829874
Category : Mathematics
Languages : en
Pages : 65
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Book Description
A formula for the odd-primary v1-periodic homotopy groups of a finite H-space in terms of its K-theory and Adams operations has been obtained by Bousfield. This work applys this theorem to give explicit determinations of the v1-periodic homotopy groups of (E8,5) and (E8,3), thus completing the determination of all odd-primary v1-periodic homotopy groups of all compact simple Lie groups, a project suggested by Mimura in 1989.
Author: Francisco Santos
Publisher: American Mathematical Soc.
ISBN: 0821827693
Category : Mathematics
Languages : en
Pages : 95
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Book Description
We consider the concept of triangulation of an oriented matroid. We provide a definition which generalizes the previous ones by Billera-Munson and by Anderson and which specializes to the usual notion of triangulation (or simplicial fan) in the realizable case. Then we study the relation existing between triangulations of an oriented matroid $\mathcal{M}$ and extensions of its dual $\mathcal{M}^*$, via the so-called lifting triangulations. We show that this duality behaves particularly well in the class of Lawrence matroid polytopes. In particular, that the extension space conjecture for realizable oriented matroids is equivalent to the restriction to Lawrence polytopes of the Generalized Baues problem for subdivisions of polytopes. We finish by showing examples and a characterization of lifting triangulations.
