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An Introduction to Morse Theory
Finite-dimensional Morse theory is easier to present fundamental ideas than in infinite-dimensional Morse theory, which is theoretically more involved. However, finite-dimensional Morse theory has its own significance. This volume explains the finte-dimensional Morse theory.
Spaces of Kleinian Groups
The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development. This volume contains important expositions on topics such as topology and geometry of 3-manifolds, curve complexes, classical Ahlfors-Bers theory and computer explorations. Researchers in these and related areas will find much of interest here.
A Fête of Topology
A Fête of Topology: Papers Dedicated to Itiro Tamura focuses on the progress in the processes, methodologies, and approaches involved in topology, including foliations, cohomology, and surface bundles. The publication first takes a look at leaf closures in Riemannian foliations and differentiable singular cohomology for foliations. Discussions focus on differentiable singular chains restricted to leaves, differentiable singular cohomology for foliations, covering of pseudogroups and fundamental group, normal type of an orbit closure, and construction of a global model. The text then takes a look at measure of exceptional minimal sets of codimension one foliations, examples of exceptional mi...
Pseudo-periodic Maps and Degeneration of Riemann Surfaces
The first part of the book studies pseudo-periodic maps of a closed surface of genus greater than or equal to two. This class of homeomorphisms was originally introduced by J. Nielsen in 1944 as an extension of periodic maps. In this book, the conjugacy classes of the (chiral) pseudo-periodic mapping classes are completely classified, and Nielsen's incomplete classification is corrected. The second part applies the results of the first part to the topology of degeneration of Riemann surfaces. It is shown that the set of topological types of all the singular fibers appearing in one parameter holomorphic families of Riemann surfaces is in a bijective correspondence with the set of conjugacy classes of the pseudo-periodic maps of negative twists. The correspondence is given by the topological monodromy.
Rejection of Racial Equality Bill
Japan, as an ally of Britain since the signing of the Anglo-Japanese Alliance in 1902, entered the First World War at British request. During the war, Japan fought Germany in Asia and afforded protection to Australia. After the cessation of hostilities of the Great War, a peace conference was convened in Paris that commenced on 18 January 1919 and concluded on 28 April 1919, after some three and a half months of intense debate, discussions and negotiations among the representatives of various participating countries. Japan, as a victorious ally and as one of the Five Powers of the day alongside Britain, the US, France and Italy, participated in Paris Peace Conference. In the conference, Japan proposed the enshrinement of the principle of racial equality in the Covenant of the League of Nations. This Racial Equality Bill, despite the tireless efforts of the Japanese delegates, was rejected. Rejection of Racial Equality Bill contends that a number of factors converged to defeat the Japanese proposal. Resolute opposition by the Prime Minister of Australia William Morris Hughes to racial equality was the single most crucial factor that led to the rejection of the Japanese proposal.
