Knots, groups and 3-manifolds: Papers dedicated to the memory of R.H. Fox
There is a sympathy of ideas among the fields of knot theory, infinite discrete group theory, and the topology of 3-manifolds. This book contains fifteen papers in which new results are proved in all three of these fields. These papers are dedicated to the memory of Ralph H. Fox, one of the world�...
Saved in:
| Other Authors: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton, NJ
Princeton University Press
[1975]
|
| Series: | Annals of Mathematics Studies
number 84 |
| Subjects: | |
| Online Access: | Volltext |
| Summary: | There is a sympathy of ideas among the fields of knot theory, infinite discrete group theory, and the topology of 3-manifolds. This book contains fifteen papers in which new results are proved in all three of these fields. These papers are dedicated to the memory of Ralph H. Fox, one of the world's leading topologists, by colleagues, former students, and friends. In knot theory, papers have been contributed by Goldsmith, Levine, Lomonaco, Perko, Trotter, and Whitten. Of these several are devoted to the study of branched covering spaces over knots and links, while others utilize the braid groups of Artin. Cossey and Smythe, Stallings, and Strasser address themselves to group theory. In his contribution Stallings describes the calculation of the groups In/In+1 where I is the augmentation ideal in a group ring RG. As a consequence, one has for each k an example of a k-generator l-relator group with no free homomorphs. In the third part, papers by Birman, Cappell, Milnor, Montesinos, Papakyriakopoulos, and Shalen comprise the treatment of 3-manifolds. Milnor gives, besides important new results, an exposition of certain aspects of our current knowledge regarding the 3- dimensional Brieskorn manifolds |
| Item Description: | Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) |
| Physical Description: | 1 online resource |
| ISBN: | 9781400881512 |
| DOI: | 10.1515/9781400881512 |
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| 520 | |a There is a sympathy of ideas among the fields of knot theory, infinite discrete group theory, and the topology of 3-manifolds. This book contains fifteen papers in which new results are proved in all three of these fields. These papers are dedicated to the memory of Ralph H. Fox, one of the world's leading topologists, by colleagues, former students, and friends. In knot theory, papers have been contributed by Goldsmith, Levine, Lomonaco, Perko, Trotter, and Whitten. Of these several are devoted to the study of branched covering spaces over knots and links, while others utilize the braid groups of Artin. Cossey and Smythe, Stallings, and Strasser address themselves to group theory. In his contribution Stallings describes the calculation of the groups In/In+1 where I is the augmentation ideal in a group ring RG. As a consequence, one has for each k an example of a k-generator l-relator group with no free homomorphs. In the third part, papers by Birman, Cappell, Milnor, Montesinos, Papakyriakopoulos, and Shalen comprise the treatment of 3-manifolds. Milnor gives, besides important new results, an exposition of certain aspects of our current knowledge regarding the 3- dimensional Brieskorn manifolds | ||
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| spelling | Knots, groups and 3-manifolds Papers dedicated to the memory of R.H. Fox Lee Paul Neuwirth Princeton, NJ Princeton University Press [1975] © 1975 1 online resource txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies number 84 Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) There is a sympathy of ideas among the fields of knot theory, infinite discrete group theory, and the topology of 3-manifolds. This book contains fifteen papers in which new results are proved in all three of these fields. These papers are dedicated to the memory of Ralph H. Fox, one of the world's leading topologists, by colleagues, former students, and friends. In knot theory, papers have been contributed by Goldsmith, Levine, Lomonaco, Perko, Trotter, and Whitten. Of these several are devoted to the study of branched covering spaces over knots and links, while others utilize the braid groups of Artin. Cossey and Smythe, Stallings, and Strasser address themselves to group theory. In his contribution Stallings describes the calculation of the groups In/In+1 where I is the augmentation ideal in a group ring RG. As a consequence, one has for each k an example of a k-generator l-relator group with no free homomorphs. In the third part, papers by Birman, Cappell, Milnor, Montesinos, Papakyriakopoulos, and Shalen comprise the treatment of 3-manifolds. Milnor gives, besides important new results, an exposition of certain aspects of our current knowledge regarding the 3- dimensional Brieskorn manifolds In English Group theory Knot theory Three-manifolds (Topology) Knotentheorie (DE-588)4164318-5 gnd rswk-swf Gruppentheorie (DE-588)4072157-7 gnd rswk-swf Knoten Mathematik (DE-588)4164314-8 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content 2\p (DE-588)4016928-5 Festschrift gnd-content Knotentheorie (DE-588)4164318-5 s Gruppentheorie (DE-588)4072157-7 s Mannigfaltigkeit (DE-588)4037379-4 s 3\p DE-604 Knoten Mathematik (DE-588)4164314-8 s 4\p DE-604 Neuwirth, Lee P. 1933- (DE-588)1107618266 edt Erscheint auch als Druck-Ausgabe 0-691-08170-0 Annals of Mathematics Studies number 84 (DE-604)BV040389493 84 https://doi.org/10.1515/9781400881512?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Knots, groups and 3-manifolds Papers dedicated to the memory of R.H. Fox Annals of Mathematics Studies Group theory Knot theory Three-manifolds (Topology) Knotentheorie (DE-588)4164318-5 gnd Gruppentheorie (DE-588)4072157-7 gnd Knoten Mathematik (DE-588)4164314-8 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd |
| subject_GND | (DE-588)4164318-5 (DE-588)4072157-7 (DE-588)4164314-8 (DE-588)4037379-4 (DE-588)4143413-4 (DE-588)4016928-5 |
| title | Knots, groups and 3-manifolds Papers dedicated to the memory of R.H. Fox |
| title_auth | Knots, groups and 3-manifolds Papers dedicated to the memory of R.H. Fox |
| title_exact_search | Knots, groups and 3-manifolds Papers dedicated to the memory of R.H. Fox |
| title_full | Knots, groups and 3-manifolds Papers dedicated to the memory of R.H. Fox Lee Paul Neuwirth |
| title_fullStr | Knots, groups and 3-manifolds Papers dedicated to the memory of R.H. Fox Lee Paul Neuwirth |
| title_full_unstemmed | Knots, groups and 3-manifolds Papers dedicated to the memory of R.H. Fox Lee Paul Neuwirth |
| title_short | Knots, groups and 3-manifolds |
| title_sort | knots groups and 3 manifolds papers dedicated to the memory of r h fox |
| title_sub | Papers dedicated to the memory of R.H. Fox |
| topic | Group theory Knot theory Three-manifolds (Topology) Knotentheorie (DE-588)4164318-5 gnd Gruppentheorie (DE-588)4072157-7 gnd Knoten Mathematik (DE-588)4164314-8 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd |
| topic_facet | Group theory Knot theory Three-manifolds (Topology) Knotentheorie Gruppentheorie Knoten Mathematik Mannigfaltigkeit Aufsatzsammlung Festschrift |
| url | https://doi.org/10.1515/9781400881512?locatt=mode:legacy |
| volume_link | (DE-604)BV040389493 |
| work_keys_str_mv | AT neuwirthleep knotsgroupsand3manifoldspapersdedicatedtothememoryofrhfox |