TopologyCourier Corporation, 1 בינו׳ 1988 - 374 עמודים Superb one-year course in classical topology. Topological spaces and functions, point-set topology, much more. Examples and problems. Bibliography. Index. |
תוכן
TOPOLOGICAL SPACES AND FUNCTIONS | 1 |
THE ELEMENTS OF POINTSET TOPOLOGY | 37 |
FURTHER TOPICS IN POINTSET TOPOLOGY | 105 |
THE ELEMENTS OF HOMOTOPY THEORY | 149 |
POLYTOPES AND TRIANGULATED SPACES | 193 |
SIMPLICIAL HOMOLOGY THEORY | 218 |
FURTHER DEVELOPMENTS IN ALGEBRAIC TOPOLOGY | 282 |
GENERAL HOMOLOGY THEORIES | 320 |
| 365 | |
| 371 | |
מהדורות אחרות - הצג הכל
Topology <span dir=ltr>John G. Hocking</span>,<span dir=ltr>Gail S. Young</span> תצוגה מקדימה מוגבלת - 2012 |
Topology <span dir=ltr>John Gilbert Hocking</span>,<span dir=ltr>Gail S. Young</span> אין תצוגה מקדימה זמינה - 1988 |
מונחים וביטויים נפוצים
1-cycle 1-simplexes abelian algebraic Axiom barycentric subdivision boundary C₁ Cantor set Čech cycle Čech homology chain group chain-mapping closed sets closed subset closure cochain coefficients cohomology collection compact Hausdorff space component consider continuous mapping continuum coordinates COROLLARY covering defined definition denote dimension equivalent Euclidean example EXERCISE finite number follows function ƒ and g geometric given group G Hausdorff space hence homeomorphism homology groups homology theory homotopy induced homomorphisms infinite integer intersection interval inverse limit isomorphic K₁ LEMMA lies limit point locally compact locally connected mapping ƒ n-cell n-sphere nonempty open set open set containing pair polytope Proof prove reader real numbers result Section separable sequence simple chain simplex simplicial complex simplicial mapping subcomplex subspace Suppose Theorem topological group topological space topology torus triangulation U₁ union vector vertex vertices zero