Disc Embedding Theorem
-10%
portes grátis
Disc Embedding Theorem
Kim, Min Hoon; Ray, Arunima; Kalmar, Boldizsar; Behrens, Stefan; Powell, Mark
Oxford University Press
07/2021
496
Dura
Inglês
9780198841319
15 a 20 dias
944
Descrição não disponível.
Preface
1: Context for the disc embedding theorem
2: Outline of the upcoming proof
Part 1: Decomposition space theory
3: The Schoenflies theorem after Mazur, Morse, and Brown
4: Decomposition space theory and the Bing shrinking criterion
5: The Alexander gored ball and the Bing decomposition
6: A decomposition that does not shrink
7: The Whitehead decomposition
8: Mixed Bing-Whitehead decompositions
9: Shrinking starlike sets
10: The ball to ball theorem
Part II: Building skyscrapers
11: Intersection numbers and the statement of the disc embedding theorem
12: Gropes, towers, and skyscrapers
13: Picture camp
14: Architecture of infinite towers and skyscrapers
15: Basic geometric constructions
16: From immersed discs to capped gropes
17: Grope height raising and 1-storey capped towers
18: Tower height raising and embedding
Part III: Interlude
19: Good groups
20: The s-cobordism theorem, the sphere embedding theorem, and the Poincare conjecture
21: The development of topological 4-manifold theory
22: Surgery theory and the classification of closed, simply connected 4-manifolds
23: Open problems
Part IV: Skyscrapers are standard
24: Replicable rooms and boundary shrinkable skyscrapers
25: The collar adding lemma
26: Key facts about skyscrapers and decomposition space theory
27: Skyscrapers are standard: an overview
28: Skyscrapers are standard: the details
Bibliography
Afterword
Index
1: Context for the disc embedding theorem
2: Outline of the upcoming proof
Part 1: Decomposition space theory
3: The Schoenflies theorem after Mazur, Morse, and Brown
4: Decomposition space theory and the Bing shrinking criterion
5: The Alexander gored ball and the Bing decomposition
6: A decomposition that does not shrink
7: The Whitehead decomposition
8: Mixed Bing-Whitehead decompositions
9: Shrinking starlike sets
10: The ball to ball theorem
Part II: Building skyscrapers
11: Intersection numbers and the statement of the disc embedding theorem
12: Gropes, towers, and skyscrapers
13: Picture camp
14: Architecture of infinite towers and skyscrapers
15: Basic geometric constructions
16: From immersed discs to capped gropes
17: Grope height raising and 1-storey capped towers
18: Tower height raising and embedding
Part III: Interlude
19: Good groups
20: The s-cobordism theorem, the sphere embedding theorem, and the Poincare conjecture
21: The development of topological 4-manifold theory
22: Surgery theory and the classification of closed, simply connected 4-manifolds
23: Open problems
Part IV: Skyscrapers are standard
24: Replicable rooms and boundary shrinkable skyscrapers
25: The collar adding lemma
26: Key facts about skyscrapers and decomposition space theory
27: Skyscrapers are standard: an overview
28: Skyscrapers are standard: the details
Bibliography
Afterword
Index
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Preface
1: Context for the disc embedding theorem
2: Outline of the upcoming proof
Part 1: Decomposition space theory
3: The Schoenflies theorem after Mazur, Morse, and Brown
4: Decomposition space theory and the Bing shrinking criterion
5: The Alexander gored ball and the Bing decomposition
6: A decomposition that does not shrink
7: The Whitehead decomposition
8: Mixed Bing-Whitehead decompositions
9: Shrinking starlike sets
10: The ball to ball theorem
Part II: Building skyscrapers
11: Intersection numbers and the statement of the disc embedding theorem
12: Gropes, towers, and skyscrapers
13: Picture camp
14: Architecture of infinite towers and skyscrapers
15: Basic geometric constructions
16: From immersed discs to capped gropes
17: Grope height raising and 1-storey capped towers
18: Tower height raising and embedding
Part III: Interlude
19: Good groups
20: The s-cobordism theorem, the sphere embedding theorem, and the Poincare conjecture
21: The development of topological 4-manifold theory
22: Surgery theory and the classification of closed, simply connected 4-manifolds
23: Open problems
Part IV: Skyscrapers are standard
24: Replicable rooms and boundary shrinkable skyscrapers
25: The collar adding lemma
26: Key facts about skyscrapers and decomposition space theory
27: Skyscrapers are standard: an overview
28: Skyscrapers are standard: the details
Bibliography
Afterword
Index
1: Context for the disc embedding theorem
2: Outline of the upcoming proof
Part 1: Decomposition space theory
3: The Schoenflies theorem after Mazur, Morse, and Brown
4: Decomposition space theory and the Bing shrinking criterion
5: The Alexander gored ball and the Bing decomposition
6: A decomposition that does not shrink
7: The Whitehead decomposition
8: Mixed Bing-Whitehead decompositions
9: Shrinking starlike sets
10: The ball to ball theorem
Part II: Building skyscrapers
11: Intersection numbers and the statement of the disc embedding theorem
12: Gropes, towers, and skyscrapers
13: Picture camp
14: Architecture of infinite towers and skyscrapers
15: Basic geometric constructions
16: From immersed discs to capped gropes
17: Grope height raising and 1-storey capped towers
18: Tower height raising and embedding
Part III: Interlude
19: Good groups
20: The s-cobordism theorem, the sphere embedding theorem, and the Poincare conjecture
21: The development of topological 4-manifold theory
22: Surgery theory and the classification of closed, simply connected 4-manifolds
23: Open problems
Part IV: Skyscrapers are standard
24: Replicable rooms and boundary shrinkable skyscrapers
25: The collar adding lemma
26: Key facts about skyscrapers and decomposition space theory
27: Skyscrapers are standard: an overview
28: Skyscrapers are standard: the details
Bibliography
Afterword
Index
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
