Cargando…
Topology
This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra. It provides full proofs and includes many examples and exercises. The covered topics include: set theory and cardinal arithmetic; axiom of choice and Zorn's...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2015.
|
| Edición: | 1st ed. 2015. |
| Colección: | La Matematica per il 3+2,
91 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-16958-3 | ||
| 003 | DE-He213 | ||
| 005 | 20220116142429.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 150528s2015 sz | s |||| 0|eng d | ||
| 020 | |a 9783319169583 |9 978-3-319-16958-3 | ||
| 024 | 7 | |a 10.1007/978-3-319-16958-3 |2 doi | |
| 050 | 4 | |a QA612-612.8 | |
| 072 | 7 | |a PBPD |2 bicssc | |
| 072 | 7 | |a MAT038000 |2 bisacsh | |
| 072 | 7 | |a PBPD |2 thema | |
| 082 | 0 | 4 | |a 514.2 |2 23 |
| 100 | 1 | |a Manetti, Marco. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Topology |h [electronic resource] / |c by Marco Manetti. |
| 250 | |a 1st ed. 2015. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2015. | |
| 300 | |a XII, 309 p. 72 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a La Matematica per il 3+2, |x 2038-5757 ; |v 91 | |
| 505 | 0 | |a 1 Geometrical introduction to topology -- 2 Sets -- 3 Topological structures -- 4 Connectedness and compactness -- 5 Topological quotients -- 6 Sequences -- 7 Manifolds, infinite products and paracompactness -- 8 More topics in general topology -- 9 Intermezzo -- Homotopy -- 10 The fundamental group -- 11 Covering spaces -- Monodromy -- 12 van Kampen's theorem -- 13 Selected topics in algebraic topology -- 14 Hints and solutions -- 15 References -- 16 Index. | |
| 520 | |a This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra. It provides full proofs and includes many examples and exercises. The covered topics include: set theory and cardinal arithmetic; axiom of choice and Zorn's lemma; topological spaces and continuous functions; connectedness and compactness; Alexandrov compactification; quotient topologies; countability and separation axioms; prebasis and Alexander's theorem; the Tychonoff theorem and paracompactness; complete metric spaces and function spaces; Baire spaces; homotopy of maps; the fundamental group; the van Kampen theorem; covering spaces; Brouwer and Borsuk's theorems; free groups and free product of groups; and basic category theory. While it is very concrete at the beginning, abstract concepts are gradually introduced. It is suitable for anyone needing a basic, comprehensive introduction to general and algebraic topology and its applications. | ||
| 650 | 0 | |a Algebraic topology. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 1 | 4 | |a Algebraic Topology. |
| 650 | 2 | 4 | |a Mathematics. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319169590 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319169576 |
| 830 | 0 | |a La Matematica per il 3+2, |x 2038-5757 ; |v 91 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-16958-3 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||