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by R.A. Piccinini

Download Lectures on Homotopy Theory (North-Holland Mathematics Studies) fb2, epub

ISBN: 0444892389
Author: R.A. Piccinini
Language: English
Publisher: North Holland (February 4, 1992)
Pages: 293
Category: Mathematics
Subcategory: Science
Rating: 4.7
Votes: 508
Size Fb2: 1415 kb
Size ePub: 1324 kb
Size Djvu: 1932 kb
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Get a full overview of North-Holland Mathematics Studies Book Series. Volume 171. Lectures on Homotopy Theory. Published: 21st January 1992 Author: . Volume 170. Progress in Functional Analysis.

Get a full overview of North-Holland Mathematics Studies Book Series. Bierstedt J. Bonet J. Horváth M. Maestre.

Later, the book was expanded to introduce CW-complexes and their homotopy groups, to construct a special class of CW-complexes . Lectures on Homotopy Theory (North-Holland Mathematics Studies).

Later, the book was expanded to introduce CW-complexes and their homotopy groups, to construct a special class of CW-complexes (the Eilenberg-Mac Lane spaces) and to include a chapter devoted to the study of the action of the fundamental group on the higher homotopy groups and the study of fibrations in the context of a category in which the fibres are. forced to live; the final material of that chapter is a comparison of various kinds of universal fibrations. Completing the book are two appendices on compactly generated spaces and the theory of colimits.

This Page Intentionally Left Blank LECTURES ON HOMOTOPY THEORY NORTH-HOLLAND MATHEMATICS .

This Page Intentionally Left Blank LECTURES ON HOMOTOPY THEORY NORTH-HOLLAND MATHEMATICS STUDIES 171 (Continuation. Lectures on Elementary Mathematics

In mathematics, stable homotopy theory is that part of homotopy theory (and thus algebraic topology) concerned with all structure and phenomena that remain after sufficiently many applications of the suspension functor.

In mathematics, stable homotopy theory is that part of homotopy theory (and thus algebraic topology) concerned with all structure and phenomena that remain after sufficiently many applications of the suspension functor. A founding result was the Freudenthal suspension theorem, which states that given any pointed space. the homotopy groups. stabilize for. sufficiently large. In particular, the homotopy groups of spheres.

Publisher: North Holland. Print ISBN: 9780444892386, 0444892389. eText ISBN: 9780444892386, 9780080872827, 0080872824. The central idea of the lecture course which gave birth to this book was to define the homotopy groups of a space and then give all the machinery needed to prove in detail that the nth homotopy group of the sphere Sn, for n greater than or equal to 1 is isomorphic to the group of the integers, that the lower homotopy groups. of Sn are trivial and that the third homotopy group of S2 is also isomorphic to the group of the integers.

Электронная книга "Lectures on Homotopy Theory", . Эту книгу можно прочитать в Google Play Книгах на компьютере, а также на устройствах Android и iOS. Выделяйте текст, добавляйте закладки и делайте заметки, скачав книгу "Lectures on Homotopy Theory" для чтения в офлайн-режиме.

Lectures on homotopy theory. NORTH-HOLLAND MATHEMATICS STUDIES 171 (Continuation of the Notas de Matematica). NORTH-HOLLAND -AMSTERDAM.

бесплатно, без регистрации и без смс. The central idea of the lecture course which gave birth to this book was to define the homotopy groups of a space and then give all the machinery needed to prove in detail that the nth homotopy group of the spher. The central idea of the lecture course which gave birth to this book was to define the homotopy groups of a space and then give all the machinery needed to prove in detail that the nth homotopy group of the sphere Sn, for n greater than or equal to 1 is isomorphic to the group of the integers, that the lower homotopy groups of Sn are trivial and that the third homotopy group of S2 is also isomorphic to the group of the integers.

Download PDF for on-screen viewing. Homotopy type theory is a new branch of mathematics that combines aspects of several different fields in a surprising way. It is based on a recently discovered connection between homotopy theory and type theory.

The central idea of the lecture course which gave birth to this book was to define the homotopy groups of a space and then give all the machinery needed to prove in detail that the nth homotopy group of the sphere Sn, for n greater than or equal to 1 is isomorphic to the group of the integers, that the lower homotopy groups of Sn are trivial and that the third homotopy group of S2 is also isomorphic to the group of the integers. All this was achieved by discussing H-spaces and CoH-spaces, fibrations and cofibrations (rather thoroughly), simplicial structures and the homotopy groups of maps.

Later, the book was expanded to introduce CW-complexes and their homotopy groups, to construct a special class of CW-complexes (the Eilenberg-Mac Lane spaces) and to include a chapter devoted to the study of the action of the fundamental group on the higher homotopy groups and the study of fibrations in the context of a category in which the fibres are forced to live; the final material of that chapter is a comparison of various kinds of universal fibrations. Completing the book are two appendices on compactly generated spaces and the theory of colimits. The book does not require any prior knowledge of Algebraic Topology and only rudimentary concepts of Category Theory are necessary; however, the student is supposed to be well at ease with the main general theorems of Topology and have a reasonable mathematical maturity.

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