Surface-Knots in 4-Space (Record no. 427151)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03407nam a22005055i 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOKNUMBER | |
| International Standard Book Number | 9789811040917 |
| -- | 978-981-10-4091-7 |
| 024 7# - | |
| -- | 10.1007/978-981-10-4091-7 |
| -- | doi |
| 040 ## - | |
| -- | ISI Library, Kolkata |
| 050 #4 - | |
| -- | QA440-699 |
| 072 #7 - | |
| -- | PBM |
| -- | bicssc |
| 072 #7 - | |
| -- | MAT012000 |
| -- | bisacsh |
| 072 #7 - | |
| -- | PBM |
| -- | thema |
| 082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516 |
| Edition number | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Kamada, Seiichi. |
| Relator code | aut |
| -- | http://id.loc.gov/vocabulary/relators/aut |
| 245 10 - TITLE STATEMENT | |
| Title | Surface-Knots in 4-Space |
| Medium | [electronic resource] : |
| Remainder of title | An Introduction / |
| Statement of responsibility, etc | by Seiichi Kamada. |
| 942 ## - ADDED ENTRY ELEMENTS(KOHA) | |
| Koha item type | E-BOOKS |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| -- | author. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS | |
| Place of production, publication, distribution, manufacture | Singapore : |
| Name of producer, publisher, distributor, manufacturer | Springer Singapore : |
| -- | Imprint: Springer, |
| Date of production, publication, distribution, manufacture | 2017. |
| 300 ## - | |
| -- | XI, 212 p. 146 illus. |
| -- | online resource. |
| 336 ## - CONTENT TYPE | |
| Content Type Term | text |
| Content Type Code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media Type Term | computer |
| Media Type Code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier Type Term | online resource |
| Carrier Type Code | cr |
| Source | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 490 1# - | |
| -- | Springer Monographs in Mathematics, |
| -- | 1439-7382 |
| 505 0# - | |
| -- | 1 Surface-knots -- 2 Knots -- 3 Motion pictures -- 4 Surface diagrams -- 5 Handle surgery and ribbon surface-knots -- 6 Spinning construction -- 7 Knot concordance -- 8 Quandles -- 9 Quandle homology groups and invariants -- 10 2-Dimensional braids -- Bibliography -- Epilogue -- Index. |
| 520 ## - | |
| -- | This introductory volume provides the basics of surface-knots and related topics, not only for researchers in these areas but also for graduate students and researchers who are not familiar with the field. Knot theory is one of the most active research fields in modern mathematics. Knots and links are closed curves (one-dimensional manifolds) in Euclidean 3-space, and they are related to braids and 3-manifolds. These notions are generalized into higher dimensions. Surface-knots or surface-links are closed surfaces (two-dimensional manifolds) in Euclidean 4-space, which are related to two-dimensional braids and 4-manifolds. Surface-knot theory treats not only closed surfaces but also surfaces with boundaries in 4-manifolds. For example, knot concordance and knot cobordism, which are also important objects in knot theory, are surfaces in the product space of the 3-sphere and the interval. Included in this book are basics of surface-knots and the related topics of classical knots, the motion picture method, surface diagrams, handle surgeries, ribbon surface-knots, spinning construction, knot concordance and 4-genus, quandles and their homology theory, and two-dimensional braids. |
| 650 #0 - | |
| -- | Geometry. |
| 650 #0 - | |
| -- | Algebraic topology. |
| 650 #0 - | |
| -- | Cell aggregation |
| -- | Mathematics. |
| 650 14 - | |
| -- | Geometry. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M21006 |
| 650 24 - | |
| -- | Algebraic Topology. |
| -- | http://scigraph.springernature.com/things/product-market-codes/M28019 |
| 650 24 - | |
| -- | Manifolds and Cell Complexes (incl. Diff.Topology). |
| -- | http://scigraph.springernature.com/things/product-market-codes/M28027 |
| 710 2# - | |
| -- | SpringerLink (Online service) |
| 773 0# - | |
| -- | Springer eBooks |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9789811040900 |
| 776 08 - | |
| -- | Printed edition: |
| -- | 9789811040924 |
| 830 #0 - | |
| -- | Springer Monographs in Mathematics, |
| -- | 1439-7382 |
| 856 40 - | |
| -- | https://doi.org/10.1007/978-981-10-4091-7 |
| 912 ## - | |
| -- | ZDB-2-SMA |
| 950 ## - | |
| -- | Mathematics and Statistics (Springer-11649) |
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