Topology (Undergraduate Texts in Mathematics) de K. Jänich

Topology: Undergraduate Texts in Mathematics

K. Jänich

S. Levy

Contents: Introduction. - Fundamental Concepts. -Topological Vector Spaces.- The Quotient Topology. -Completion of Metric Spaces. - Homotopy. - The TwoCountability Axioms. - CW-Complexes. - Construction ofContinuous Functions on Topological Spaces. - CoveringSpaces. - The Theorem of Tychonoff. - Set Theory (by T.Br|cker). - References. - Table of Symbols. -Index.

Citește tot Restrânge

Toate formatele și edițiile

	Preț	Express
Paperback (1)	400^.49 lei 6-8 săpt.
Springer – 3 oct 2012	400^.49 lei 6-8 săpt.
Hardback (1)	407^.34 lei 6-8 săpt.
Springer – 30 ian 1984	407^.34 lei 6-8 săpt.

Din seria Undergraduate Texts in Mathematics

17%

Preț: 387^.00 lei
Preț: 396^.81 lei
Preț: 409^.58 lei
17%

Preț: 391^.86 lei
15%

Preț: 512^.39 lei
Preț: 297^.91 lei
Preț: 420^.68 lei
Preț: 418^.67 lei
Preț: 306^.45 lei
Preț: 349^.71 lei
15%

Preț: 436^.05 lei
Preț: 421^.63 lei
Preț: 373^.98 lei
Preț: 417^.34 lei
Preț: 387^.48 lei
17%

Preț: 393^.06 lei
15%

Preț: 394^.77 lei
15%

Preț: 396^.08 lei
15%

Preț: 429^.75 lei
15%

Preț: 452^.05 lei
Preț: 387^.05 lei
Preț: 439^.45 lei
Preț: 371^.58 lei
Preț: 428^.94 lei
Preț: 372^.67 lei
Preț: 382^.64 lei
Preț: 420^.68 lei
Preț: 384^.50 lei
15%

Preț: 494^.55 lei
Preț: 295^.50 lei
Preț: 388^.98 lei
17%

Preț: 395^.44 lei
15%

Preț: 501^.01 lei
15%

Preț: 430^.65 lei
Preț: 386^.74 lei
Preț: 375^.27 lei
15%

Preț: 553^.26 lei
15%

Preț: 444^.21 lei
Preț: 376^.75 lei
Preț: 390^.54 lei
Preț: 470^.62 lei
15%

Preț: 517^.73 lei
Preț: 371^.20 lei
19%

Preț: 510^.64 lei
15%

Preț: 468^.16 lei
15%

Preț: 430^.20 lei
Preț: 471^.98 lei

Cuprins

§1. What is point-set topology about?.- §2. Origin and beginnings.- I Fundamental Concepts.- §1. The concept of a topological space.- §2. Metric spaces.- §3. Subspaces, disjoint unions and products.- §4. Bases and subbases.- §5. Continuous maps.- §6. Connectedness.- §7. The Hausdorff separation axiom.- §8. Compactness.- II Topological Vector Spaces.- §1. The notion of a topological vector space.- §2. Finite-dimensional vector spaces.- §3. Hilbert spaces.- §4. Banach spaces.- §5. Fréchet spaces.- §6. Locally convex topological vector spaces.- §7. A couple of examples.- III The Quotient Topology.- §1. The notion of a quotient space.- §2. Quotients and maps.- §3. Properties of quotient spaces.- §4. Examples: Homogeneous spaces.- §5. Examples: Orbit spaces.- §6. Examples: Collapsing a subspace to a point.- §7. Examples: Gluing topological spaces together.- IV Completion of Metric Spaces.- §1. The completion of a metric space.- §2. Completion of a map.- §3. Completion of normed spaces.- V Homotopy.- §1. Homotopic maps.- §2. Homotopy equivalence.- §3. Examples.- §4. Categories.- §5. Functors.- §6. What is algebraic topology?.- §7. Homotopy—what for?.- VI The Two Countability Axioms.- §1. First and second countability axioms.- §2. Infinite products.- §3. The role of the countability axioms.- VII CW-Complexes.- §1. Simplicial complexes.- §2. Cell decompositions.- §3. The notion of a CW-complex.- §4. Subcomplexes.- §5. Cell attaching.- §6. Why CW-complexes are more flexible.- §7. Yes, but… ?.- VIII Construction of Continuous Functions on Topological Spaces.- §1. The Urysohn lemma.- §2. The proof of the Urysohn lemma.- §3. The Tietze extension lemma.- §4. Partitions of unity and vector bundle sections.- §5. Paracompactness.- IX Covering Spaces.- §1. Topological spaces over X.- §2. The concept of a covering space.- §3. Path lifting.- §4. Introduction to the classification of covering spaces.- §5. Fundamental group and lifting behavior.- §6. The classification of covering spaces.- §7. Covering transformations and universal cover.- §8. The role of covering spaces in mathematics.- X The Theorem of Tychonoff.- §1. An unlikely theorem?.- §2. What is it good for?.- §3. The proof.- Last Chapter Set Theory (by Theodor Bröcker).- References.- Table of Symbols.