Topology of Singular Fibers of Differentiable Maps by Osamu Saeki

By Osamu Saeki

The quantity develops a radical idea of singular fibers of known differentiable maps. this is often the 1st paintings that establishes the foundational framework of the worldwide research of singular differentiable maps of detrimental codimension from the perspective of differential topology. The ebook comprises not just a normal thought, but in addition a few specific examples including a couple of very concrete purposes.

This is a really fascinating topic in differential topology, because it exhibits a stunning interaction among the standard thought of singularities of differentiable maps and the geometric topology of manifolds.

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Geometric Topology: 1993 Georgia International Topology by Georgia International Topology Conference

By Georgia International Topology Conference

This can be half 1 of a two-part quantity reflecting the complaints of the 1993 Georgia overseas Topology convention held on the collage of Georgia through the month of August. The texts contain study and expository articles and challenge units. The convention lined a wide selection of themes in geometric topology. positive aspects: Kirby's challenge record, which includes an intensive description of the growth made on all of the difficulties and contains a very whole bibliography, makes the paintings priceless for experts and non-specialists who are looking to know about the development made in many parts of topology. This record may well function a reference paintings for many years to return. Gabai's challenge checklist, which specializes in foliations and laminations of 3-manifolds, collects for the 1st time in a single paper definitions, effects, and difficulties which may function a defining resource within the topic quarter.

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User's guide to spectral sequences by John McCleary

By John McCleary

Spectral sequences are one of the so much based and robust equipment of computation in arithmetic. This ebook describes essentially the most vital examples of spectral sequences and a few in their so much remarkable purposes. the 1st half treats the algebraic foundations for this kind of homological algebra, ranging from casual calculations. the guts of the textual content is an exposition of the classical examples from homotopy thought, with chapters at the Leray-Serre spectral series, the Eilenberg-Moore spectral series, the Adams spectral series, and, during this re-creation, the Bockstein spectral series. The final a part of the ebook treats purposes all through arithmetic, together with the speculation of knots and hyperlinks, algebraic geometry, differential geometry and algebra. this can be an outstanding reference for college kids and researchers in geometry, topology, and algebra.

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Nearly Projective Boolean Algebras by Lutz Heindorf

By Lutz Heindorf

The booklet is a reasonably entire and up to date survey of projectivity and its generalizations within the category of Boolean algebras. even though algebra provides its personal tools and questions, some of the effects offered have been first proved by way of topologists within the extra basic surroundings of (not inevitably zero-dimensional) compact spaces.An appendix demonstrates the appliance of complex set-theoretic the way to the field.The meant readers are Boolean and common algebraists. The booklet can be valuable for basic topologists desirous to find out about kappa-metrizable areas and similar sessions. The textual content is essentially self-contained yet assumes adventure with the fundamental strategies and methods of Boolean algebras.

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Topologie Générale: Chapitres 5 à 10 by N. Bourbaki

By N. Bourbaki

Topologie générale, Chapitres five � 10

Les Éléments de mathématique de Nicolas BOURBAKI ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements.

Ce deuxième quantity du Livre de Topologie générale, troisième Livre du traité, décrit de nombreux outils fondamentaux en topologie et en examine, tels que le théorème d’Urysohn, le théorème de Baire ou les espaces polonais. Il comprend les chapitres :

  1. Groupes � un paramètre ;
  2. Espaces numériques et espaces projectifs ;
  3. Les groupes additifs Rn ;
  4. Nombres complexes ;
  5. Utilisation des nombres réels en topologie générale ;
  6. Espaces fonctionnels.

Il contient également des notes historiques.

Ce quantity a été publié en 1974.

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