Algebraic topology:

a first course

Springer, 1995 - 430 pages

This book introduces the important ideas of algebraic topology by emphasizing the relation of these ideas with other areas of mathematics. Rather than choosing one point of view of modern topology (homotropy theory, axiomatic homology, or differential topology, say) the author concentrates on concrete problems in spaces with a few dimensions, introducing only as much algebraic machinery as necessary for the problems encountered. This makes it possible to see a wider variety of important features in the subject than is common in introductory texts; it is also in harmony with the historical development of the subject. The book is aimed at students who do not necessarily intend on specializing in algebraic topology.

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Table des matières

III	3

IV	7

V	10

VI	17

VII	23

VIII	27

IX	33

X	35

LXIV	217

LXV	219

LXVI	220

LXVII	222

LXVIII	225

LXIX	227

LXX	228

LXXI	231

XI	38

XII	42

XIII	43

XIV	48

XV	49

XVI	53

XVII	56

XVIII	59

XIX	63

XX	65

XXI	68

XXII	72

XXIII	78

XXIV	82

XXV	85

XXVI	89

XXVII	91

XXVIII	95

XXIX	97

XXX	101

XXXI	102

XXXII	106

XXXIII	113

XXXIV	121

XXXV	123

XXXVI	127

XXXVII	130

XXXVIII	131

XXXIX	137

XL	140

XLI	144

XLII	147

XLIII	151

XLIV	153

XLV	156

XLVI	158

XLVII	163

XLVIII	165

XLIX	170

L	173

LI	177

LII	179

LIII	182

LIV	186

LV	189

LVI	193

LVII	196

LVIII	197

LIX	201

LX	205

LXI	207

LXII	210

LXIII	213

LXXII	233

LXXIII	236

LXXIV	242

LXXV	247

LXXVI	251

LXXVII	252

LXXVIII	256

LXXIX	261

LXXX	263

LXXXI	268

LXXXII	272

LXXXIII	277

LXXXIV	281

LXXXV	284

LXXXVI	289

LXXXVII	291

LXXXVIII	295

LXXXIX	299

XC	303

XCI	306

XCII	313

XCIII	317

XCIV	320

XCV	324

XCVI	325

XCVII	328

XCVIII	332

XCIX	334

C	339

CI	343

CII	346

CIII	350

CIV	355

CV	359

CVI	365

CVII	367

CVIII	369

CIX	370

CX	371

CXI	373

CXII	375

CXIII	378

CXIV	380

CXV	385

CXVI	387

CXVII	389

CXVIII	391

CXIX	393

CXX	397

CXXI	419

CXXII	421

CXXIII	425

Droits d'auteur

Autres éditions - Tout afficher

Algebraic topology: a first course

William Fulton
Affichage d'extraits - 1995

Algebraic Topology: A First Course

WILLIAM AUTOR FULTON
Aucun aperçu disponible - 1995

Algebraic topology: a first course

William Fulton
Aucun aperçu disponible - 1995

Expressions et termes fréquents

1-cycle Algebraic base point boundary calculation chain Chapter circle closed 1-form closed paths cocycle cohomology commutes compact support complement connected components construct contained continuous mapping coordinate Corollary corresponding covering map curve def,ne define deg(D degree denoted determines diffeomorphic differential dim(L(D disjoint union disk divisor edges element endpoints equation equivalent exact sequence Exercise fact finite number follows formula free abelian group fundamental group G-covering given group G homology group homomorphism homotopy integral intersection interval isomorphism Jordan curve theorem Lemma linear mapping locally constant function loop manifold Mayer-Vietoris meromorphic function morphism neighborhood nonzero open sets open subset orientation path-connected polynomial Problem proof Proposition prove quotient restriction Show simply connected singularities sphere subgroup subspace Suppose surjective takes theorem topological space topology torus triangulation trivial unique universal covering vanishes vector field vector space Verify vertices winding number zero

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Références issues de pages Web

JSTOR: Algebraic Topology: A First Course.
REVIEWS II _ III _11 ii II II I II ii II Edited by Darrell Haile Indiana University, Bloomington, IN 47405 Algebraic Topology: A First Course, by William ...
links.jstor.org/ sici?sici=0002-9890(199612)103%3A10%3C913%3AATAFC%3E2.0.CO%3B2-A

CIDEC Library: Fulton * Algebraic Topology: A First Course
ALGEBRAIC TOPOLOGY: A First Course. William FULTON, 1939-, University of Chicago, IL, USA. Series: Graduate Texts in Mathematics. Vol. 153 Eds.: jh Ewing; ...
cs.ioc.ee/ yik/ lib/ 1/ Fulton1.html

Mathematics 261: Algebraic Topology I
James R. Munkres, Topology: A First Course, Prentice Hall, 1974. William Fulton, Algebraic Topology: A First Course, Srpinger-Verlag 1995. ...
www.math.duke.edu/ graduate/ courses/ spring04/ math261.html

MAT 539 -- Algebraic Topology
Algebraic Topology: A first Course, W. Fulton, GTM 153, Springer Verlag 1995; Topology from the Differentiable Viewpoint, J. Milnor, U. of Virginia Press ...
www.math.sunysb.edu/ ~sorin/ topology/

Powell's Books - Graduate Texts in Mathematics #0153: Algebraic ...
Graduate Texts in Mathematics #0153: Algebraic Topology: A First Course ... Graduate Texts in Mathematics #0153: Algebraic Topology: A First Course Cover ...
www.powells.com/ biblio?isbn=9780387943275

jf Adams, jf Adams, jf Adams, A. Adem rj Milgram, M. Aigner G ...
Algebraic Topology: A First Course, Springer-Verlag GTM 153, 1995. B. Gray,. Homotopy Theory, Academic Press, 1975. M. Greenberg ...
www.math.cornell.edu/ ~hatcher/ AT/ ATbib-ind.pdf

Algebraic topology: a first course de Fulton, William, Libro Nuevo ...
Compra el libro Algebraic topology: a first course de Fulton, William a sólo $ 62.440 - US$ 148,67 - € 91,82. Despacho a domicilio en todo el mundo.
www.buscalibros.cl/ libro.php?libro=75741

Chicago undergraduate mathematics bibliography
Massey wrote two earlier algebraic topology books, Algebraic topology: a first course, and Singular homology theory. This book is their union, ...
www.ocf.berkeley.edu/ ~abhishek/ chicmath.htm

ALGEBRAIC TOPOLOGY: A FIRST COURSE: en su libreria Casa del Libro
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À propos de l'auteur (1995)

Fulton is president of Solimar Research Group in Ventura, California.

Informations bibliographiques

Titre	Algebraic topology: a first course Volume 153 de Graduate texts in mathematics, ISSN 0072-5285
Auteur	William Fulton
Édition	illustrée, réimprimée
Éditeur	Springer, 1995
ISBN	0387943277, 9780387943275
Longueur	430 pages

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