SØG - mellem flere end 8 millioner bøger:

Søg på: Titel, forfatter, forlag - gerne i kombination.
Eller blot på isbn, hvis du kender dette.

Viser: Introduction to Homotopy Theory

Introduction to Homotopy Theory
Søgbar e-bog

Introduction to Homotopy Theory Vital Source e-bog

Martin Arkowitz
(2011)
Springer Nature
770,00 kr.
Leveres umiddelbart efter køb
Introduction to Homotopy Theory, 1. udgave

Introduction to Homotopy Theory

Martin Arkowitz
(2011)
Sprog: Engelsk
Springer New York
825,00 kr.
Print on demand. Leveringstid vil være ca 2-3 uger.

Detaljer om varen

  • Vital Source searchable e-book (Fixed pages)
  • Udgiver: Springer Nature (Juli 2011)
  • ISBN: 9781441973290
This is a book in pure mathematics dealing with homotopy theory, one of the main branches of algebraic topology. The principal topics are as follows: • Basic Homotopy; • H-spaces and co-H-spaces; • Fibrations and Cofibrations; • Exact sequences of homotopy sets, actions, and coactions; • Homotopy pushouts and pullbacks; • Classical theorems, including those of Serre, Hurewicz, Blakers-Massey, and Whitehead; • Homotopy Sets; • Homotopy and homology decompositions of spaces and maps; and • Obstruction theory. The underlying theme of the entire book is the Eckmann-Hilton duality theory. This approach provides a unifying motif, clarifies many concepts, and reduces the amount of repetitious material. The subject matter is treated carefully with attention to detail, motivation is given for many results, there are several illustrations, and there are a large number of exercises of varying degrees of difficulty. It is assumed that the reader has had some exposure to the rudiments of homology theory and fundamental group theory. These topics are discussed in the appendices. The book can be used as a text for the second semester of an algebraic topology course. The intended audience would be advanced undergraduates or graduate students. The book could also be used by anyone with a little background in topology who wishes to learn some homotopy theory.
Licens varighed:
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: ubegrænset dage fra købsdato.

Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)

Detaljer om varen

  • 1. Udgave
  • Paperback: 358 sider
  • Udgiver: Springer New York (Juli 2011)
  • ISBN: 9781441973283

This is a book in pure mathematics dealing with homotopy theory, one of the main branches of algebraic topology. The principal topics are as follows:

- Basic Homotopy;
- H-spaces and co-H-spaces;
- Fibrations and Cofibrations;
- Exact sequences of homotopy sets, actions, and coactions;
- Homotopy pushouts and pullbacks;
- Classical theorems, including those of Serre, Hurewicz, Blakers-Massey, and Whitehead;
- Homotopy Sets;
- Homotopy and homology decompositions of spaces and maps; and
- Obstruction theory.

The underlying theme of the entire book is the Eckmann-Hilton duality theory. This approach provides a unifying motif, clarifies many concepts, and reduces the amount of repetitious material. The subject matter is treated carefully with attention to detail, motivation is given for many results, there are several illustrations, and there are a large number of exercises of varying degrees of difficulty.

It is assumed that the reader has had some exposure to the rudiments of homology theory and fundamental group theory. These topics are discussed in the appendices. The book can be used as a text for the second semester of an algebraic topology course. The intended audience would be advanced undergraduates or graduate students. The book could also be used by anyone with a little background in topology who wishes to learn some homotopy theory.

1 Basic Homotopy.-
1.1 Introduction.-
1.2 Spaces, Maps, Products and Wedges.-
1.3 Homotopy I.-
1.4 Homotopy II.-
1.5 CW Complexes.-
1.6 Why Study Homotopy Theory'.- Exercises.- 2 H-Spaces and Co-H-Spaces.-
2.1 Introduction.-
2.2. H-Spaces and Co-H-Spaces.-
2.3 Loop Spaces and Suspensions.-
2.4 Homotopy Groups I.-
2.5 Moore Spaces and Eilenberg-Mac Lane Spaces.-
2.6 Eckmann-Hilton Duality I.- Exercises.- 3 Cofibrations and Fibrations.-
3.1 Introduction.-
3.2 Cofibrations.-
3.3 Fibrations.-
3.4 Examples of Fiber Bundles.-
3.5 Replacing a Map by a Cofiber or Fiber Map.- Exercises.- 4 Exact Sequences.-
4.1 Introduction.-
4.2 The Coexact and Exact Sequence of a Map.-
4.3 Actions and Coactions.-
4.4 Operations.-
4.5 Homotopy Groups II.- Exercises.- 5 Applications of Exactness.-
5.1 Introduction.-
5.2 Universal Coefficient Theorems.-
5.3 Homotopical Cohomology Groups.-
5.4 Applications to Fiber and Cofiber Sequences.-
5.5 The Operation of the Fundamental Group.-
5.6 Calculation of Homotopy Groups.-Exercises.- 6 Homotopy Pushouts and Pullbacks.-
6.1 Introduction.-
6.2 Homotopy Pushouts and Pullbacks I.-
6.3 Homotopy Pushouts and Pullbacks II.-
6.4 Theorems of Serre, Hurewicz and Blakers-Massey.-
6.5 Eckmann-Hilton Duality II.- Exercises.- 7 Homotopy and Homology Decompositions.-
7.1 Introduction.-
7.2 Homotopy Decompositions of Spaces.-
7.3 Homology Decompositions of Spaces.-
7.4 Homotopy and Homology Decompositions of Maps.- Exercises.- 8 Homotopy Sets.-
8.1 Introduction.-
8.2 The Set [ X, Y ].-
8.3 Category.-
8.4 Loop and Group Structure in [ X, Y ].-Exercises.- 9 Obstruction Theory.-
9.1 Introduction.-
9.2 Obstructions Using Homotopy Decompositions.-
9.3 Lifts and Extensions.-
9.4 Obstruction Miscellany.- Exercises.- A Point-Set Topology.- B The Fundamental Group.- C Homology and Cohomology.- D Homotopy Groups of the n-Sphere.- E Homotopy Pushouts and Pullbacks.- F Categories and Functors.- Hints to Some of the Exercises.- References.- Index.-
De oplyste priser er inkl. moms

Polyteknisk Boghandel

har gennem mere end 50 år været studieboghandlen på DTU og en af Danmarks førende specialister i faglitteratur.

 

Vi lagerfører et bredt udvalg af bøger, ikke bare inden for videnskab og teknik, men også f.eks. ledelse, IT og meget andet.

Læs mere her


Trykt eller digital bog?

Ud over trykte bøger tilbyder vi tre forskellige typer af digitale bøger:

 

Vital Source Bookshelf: En velfungerende ebogsplatform, hvor bogen downloades til din computer og/eller mobile enhed.

 

Du skal bruge den gratis Bookshelf software til at læse læse bøgerne - der er indbygget gode værktøjer til f.eks. søgning, overstregning, notetagning mv. I langt de fleste tilfælde vil du samtidig have en sideløbende 1825 dages online adgang. Læs mere om Vital Source bøger

 

Levering: I forbindelse med købet opretter du et login. Når du har installeret Bookshelf softwaren, logger du blot ind og din bog downloades automatisk.

 

 

Adobe ebog: Dette er Adobe DRM ebøger som downloades til din lokale computer eller mobil enhed.

 

For at læse bøgerne kræves særlig software, som understøtter denne type. Softwaren er gratis, men du bør sikre at du har rettigheder til installere software på den maskine du påtænker at anvende den på. Læs mere om Adobe DRM bøger

 

Levering: Et download link sendes pr email umiddelbart efter købet.

 


Ibog: Dette er en online bog som kan læses på udgiverens website. 

Der kræves ikke særlig software, bogen læses i en almindelig browser.

 

Levering: Vores medarbejder sender dig en adgangsnøgle pr email.

 

Vi gør opmærksom på at der ikke er retur/fortrydelsesret på digitale varer.