## Contents of Volume 353, Number 5

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- Vessiot structure for manifolds of $(p,q)$-hyperbolic type: Darboux integrability and symmetry
- Peter J. Vassiliou PDF
- Trans. Amer. Math. Soc.
**353**(2001), 1705-1739

- A finiteness theorem for harmonic maps into Hilbert Grassmannians
- Rodrigo P. Gomez PDF
- Trans. Amer. Math. Soc.
**353**(2001), 1741-1753

- Pfaffian systems with derived length one. The class of flag systems
- María A. Cañadas-Pinedo and Ceferino Ruiz PDF
- Trans. Amer. Math. Soc.
**353**(2001), 1755-1766

- A new affine invariant for polytopes and Schneider’s projection problem
- Erwin Lutwak, Deane Yang and Gaoyong Zhang PDF
- Trans. Amer. Math. Soc.
**353**(2001), 1767-1779

- On the number of ${L}_{\infty \omega _1}$-equivalent non-isomorphic models
- Saharon Shelah and Pauli Väisänen PDF
- Trans. Amer. Math. Soc.
**353**(2001), 1781-1817

- A universal continuum of weight $\aleph$
- Alan Dow and Klaas Pieter Hart PDF
- Trans. Amer. Math. Soc.
**353**(2001), 1819-1838

- Semi-dualizing complexes and their Auslander categories
- Lars Winther Christensen PDF
- Trans. Amer. Math. Soc.
**353**(2001), 1839-1883

- Geometric interpretation of tight closure and test ideals
- Nobuo Hara PDF
- Trans. Amer. Math. Soc.
**353**(2001), 1885-1906

- A brief proof of a maximal rank theorem for generic double points in projective space
- Karen A. Chandler PDF
- Trans. Amer. Math. Soc.
**353**(2001), 1907-1920

- Arithmetic discriminants and morphisms of curves
- Xiangjun Song and Thomas J. Tucker PDF
- Trans. Amer. Math. Soc.
**353**(2001), 1921-1936

- Essential cohomology and extraspecial $p$-groups
- Pham Anh Minh PDF
- Trans. Amer. Math. Soc.
**353**(2001), 1937-1957

- Spaces of rational loops on a real projective space
- Jacob Mostovoy PDF
- Trans. Amer. Math. Soc.
**353**(2001), 1959-1970

- The limits of refinable functions
- Gilbert Strang and Ding-Xuan Zhou PDF
- Trans. Amer. Math. Soc.
**353**(2001), 1971-1984

- Ahiezer-Kac type Fredholm determinant asymptotics for convolution operators with rational symbols
- Sergio Albeverio and Konstantin A. Makarov PDF
- Trans. Amer. Math. Soc.
**353**(2001), 1985-1993

- Vector $A_2$ weights and a Hardy-Littlewood maximal function
- Michael Christ and Michael Goldberg PDF
- Trans. Amer. Math. Soc.
**353**(2001), 1995-2002

- Vanishing of the third simplicial cohomology group of $l^1(\mathbf {Z}_+)$
- Frédéric Gourdeau and Michael C. White PDF
- Trans. Amer. Math. Soc.
**353**(2001), 2003-2017

- Unconditional structures of weakly null sequences
- S. A. Argyros and I. Gasparis PDF
- Trans. Amer. Math. Soc.
**353**(2001), 2019-2058

- Irreducible partitions and the construction of quasi-measures
- D. J. Grubb PDF
- Trans. Amer. Math. Soc.
**353**(2001), 2059-2072

- A product formula for spherical representations of a group of automorphisms of a homogeneous tree, II
- Donald I. Cartwright and Gabriella Kuhn PDF
- Trans. Amer. Math. Soc.
**353**(2001), 2073-2090

- Varieties of uniserial representations IV. Kinship to geometric quotients
- Klaus Bongartz and Birge Huisgen-Zimmermann PDF
- Trans. Amer. Math. Soc.
**353**(2001), 2091-2113

- Noncrossed products over $k_{\mathfrak {p}}(t)$
- Eric S. Brussel PDF
- Trans. Amer. Math. Soc.
**353**(2001), 2115-2129