The Hauptvermutung is the conjecture that any two triangulations of a poly hedron are combinatorially equivalent. The conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology. Initially, it was verified for low-dimensional polyhedra, and it might have been expected that furt her development of high-dimensional topology would lead to a verification in all dimensions. However, in 1961 Milnor constructed high-dimensional polyhedra with combinatorially inequivalent triangulations, disproving the Hauptvermutung in general. These polyhedra...

Coccinellids have been very actively studied in the course of the twenty three years since "Biology of Coccinellidae" was published. The great amount of new, and often very important findings have made the previous book outdated and a new synthesis is needed. No other monograph of similar focus and extent has appeared. Iablokoff- Khnzorian's "Les Coccinelles" (1982), limited to the tribus Coccinellini, and Gor- don's "The Coccinellidae of America North of Mexico" (1985) both concentrate on taxonomy. Majerus' beautiful "Ladybirds" (1994) deal specifically with British coc- cinellids and...

The Advanced Research Workshop on "Nuclear Submarine Decommissioning and Related Problems" was held at the Russian Academy of Sciences in Moscow, Russia on June 19-22, 1995. On June 17 and 18, 1995 some of the workshop participants visited the Zwezdochka Shipyard at Severodvinsk which is a repair and dismantlement facility for Russian nuclear submarines. Attendance at the workshop was approximately 115 with participants from Russia, United States, France, Norway, Canada, Denmark, Sweden, Estonia, and Germany. The workshop was sponsored by the Disarmament Panel of North Atlantic Treaty...

Compactness in topology and finite generation in algebra are nice properties to start with. However, the study of compact spaces leads naturally to non-compact spaces and infinitely generated chain complexes; a classical example is the theory of covering spaces. In handling non-compact spaces we must take into account the infinity behaviour of such spaces. This necessitates modifying the usual topological and algebraic cate- gories to obtain "proper" categories in which objects are equipped with a "topologized infinity" and in which morphisms are compatible with the topology at infinity. The...

In medicine the understanding and interpretation of the complex reality of illness currently refers either to an organismic approach that focuses on the physical or to a 'holistic' approach that takes into account the patient's human sociocultural involvement. Yet as the papers of this collection show, the suffering human person refers ultimately to his/her existential sphere. Hence, praxis is supplemented by still other perspectives for valuation and interpretation: ethical, spiritual, and religious.
Can medicine ignore these considerations or push them to the side as being subjective...

This book provides an overview of some of the most active topics in the theory of transformation groups over the past decades and stresses advances obtained in the last dozen years. The emphasis is on actions of Lie groups on manifolds and CW complexes. Manifolds and actions of Lie groups on them are studied in the linear, semialgebraic, definable, analytic, smooth, and topological categories. Equivalent vector bundles play an important role.

The work is divided into fifteen articles and will be of interest to anyone researching or studying transformations groups. The references...

nd During June 13 -June 23 1996, the 2 EL. B. A. Foundation course on Genome, a NATO Advanced Study Institute, was held at Marcian Marina, Isle of Elba, Italy, - sponsored by the North Atlantic Treaty Organization and the EL. B. A. Fundation. The subject of the course was "Genome Structure and Function" with participants selected worldwire from 15 afferent countries. The purpose of the course and of the resulting book is the study of DNA structure (from the primary to the quintemary) and gene expression in the control of cell function and cell cycle progression; the topics were presented by...

In this volume, the authors present theoretical explanations for a few basic problems connected with the propagation of extra wide band, short impulses in linear media, and with the propagation of whistlers and megawhistlers in plasmas. In addition, the book provides an overview of ground and space based measurements, digital processing and signal analysis.
The theoretical treatment in this volume is original in the sense that, unlike former solutions, the authors present a fundamentally non-monochromatic approach. A key feature of this approach is the application of the Laplace...

The Hauptvermutung is the conjecture that any two triangulations of a poly hedron are combinatorially equivalent. The conjecture was formulated at the turn of the century, and until its resolution was a central problem of topology. Initially, it was verified for low-dimensional polyhedra, and it might have been expected that furt her development of high-dimensional topology would lead to a verification in all dimensions. However, in 1961 Milnor constructed high-dimensional polyhedra with combinatorially inequivalent triangulations, disproving the Hauptvermutung in general. These polyhedra...

In Commutative Algebra certain /-adic filtrations of Noetherian rings, i.e. the so-called Zariski rings, are at the basis of singularity theory. Apart from that it is mainly in the context of Homological Algebra that filtered rings and the associated graded rings are being studied not in the least because of the importance of double complexes and their spectral sequences. Where non-commutative algebra is concerned, applications of the theory of filtrations were mainly restricted to the study of enveloping algebras of Lie algebras and, more extensively even, to the study of rings of...