A standard form of incompressible surfaces in 3-dimensional handlebodies
Abstract Applying the Morse theory, we give a standard form for a class of surfaces which includes all the properly embedded incompressible surfaces in 3-dimensional handlebodies. We also give a necessary and sufficient condition to determine the incompressibility of such surfaces placed in our stan...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Lin, Wei [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2022 |
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| Schlagwörter: |
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| Anmerkung: |
© Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2022 |
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| Übergeordnetes Werk: |
Enthalten in: Science in China - Asheville, NC : Science in China Press, 1995, 66(2022), 10 vom: 27. Dez., Seite 2309-2324 |
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| Übergeordnetes Werk: |
volume:66 ; year:2022 ; number:10 ; day:27 ; month:12 ; pages:2309-2324 |
| Links: |
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| DOI / URN: |
10.1007/s11425-022-2072-8 |
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10.1007/s11425-022-2072-8 doi (DE-627)SPR053222857 (SPR)s11425-022-2072-8-e DE-627 ger DE-627 rakwb eng Lin, Wei verfasserin aut A standard form of incompressible surfaces in 3-dimensional handlebodies 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2022 Abstract Applying the Morse theory, we give a standard form for a class of surfaces which includes all the properly embedded incompressible surfaces in 3-dimensional handlebodies. We also give a necessary and sufficient condition to determine the incompressibility of such surfaces placed in our standard form. Our algorithm is practical. Several examples are given to test the algorithm. incompressible surface (dpeaa)DE-He213 handlebody (dpeaa)DE-He213 Morse theory (dpeaa)DE-He213 general position (dpeaa)DE-He213 Lei, Fengchun aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 66(2022), 10 vom: 27. Dez., Seite 2309-2324 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:66 year:2022 number:10 day:27 month:12 pages:2309-2324 https://dx.doi.org/10.1007/s11425-022-2072-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 AR 66 2022 10 27 12 2309-2324 |
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10.1007/s11425-022-2072-8 doi (DE-627)SPR053222857 (SPR)s11425-022-2072-8-e DE-627 ger DE-627 rakwb eng Lin, Wei verfasserin aut A standard form of incompressible surfaces in 3-dimensional handlebodies 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2022 Abstract Applying the Morse theory, we give a standard form for a class of surfaces which includes all the properly embedded incompressible surfaces in 3-dimensional handlebodies. We also give a necessary and sufficient condition to determine the incompressibility of such surfaces placed in our standard form. Our algorithm is practical. Several examples are given to test the algorithm. incompressible surface (dpeaa)DE-He213 handlebody (dpeaa)DE-He213 Morse theory (dpeaa)DE-He213 general position (dpeaa)DE-He213 Lei, Fengchun aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 66(2022), 10 vom: 27. Dez., Seite 2309-2324 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:66 year:2022 number:10 day:27 month:12 pages:2309-2324 https://dx.doi.org/10.1007/s11425-022-2072-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 AR 66 2022 10 27 12 2309-2324 |
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10.1007/s11425-022-2072-8 doi (DE-627)SPR053222857 (SPR)s11425-022-2072-8-e DE-627 ger DE-627 rakwb eng Lin, Wei verfasserin aut A standard form of incompressible surfaces in 3-dimensional handlebodies 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2022 Abstract Applying the Morse theory, we give a standard form for a class of surfaces which includes all the properly embedded incompressible surfaces in 3-dimensional handlebodies. We also give a necessary and sufficient condition to determine the incompressibility of such surfaces placed in our standard form. Our algorithm is practical. Several examples are given to test the algorithm. incompressible surface (dpeaa)DE-He213 handlebody (dpeaa)DE-He213 Morse theory (dpeaa)DE-He213 general position (dpeaa)DE-He213 Lei, Fengchun aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 66(2022), 10 vom: 27. Dez., Seite 2309-2324 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:66 year:2022 number:10 day:27 month:12 pages:2309-2324 https://dx.doi.org/10.1007/s11425-022-2072-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 AR 66 2022 10 27 12 2309-2324 |
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10.1007/s11425-022-2072-8 doi (DE-627)SPR053222857 (SPR)s11425-022-2072-8-e DE-627 ger DE-627 rakwb eng Lin, Wei verfasserin aut A standard form of incompressible surfaces in 3-dimensional handlebodies 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2022 Abstract Applying the Morse theory, we give a standard form for a class of surfaces which includes all the properly embedded incompressible surfaces in 3-dimensional handlebodies. We also give a necessary and sufficient condition to determine the incompressibility of such surfaces placed in our standard form. Our algorithm is practical. Several examples are given to test the algorithm. incompressible surface (dpeaa)DE-He213 handlebody (dpeaa)DE-He213 Morse theory (dpeaa)DE-He213 general position (dpeaa)DE-He213 Lei, Fengchun aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 66(2022), 10 vom: 27. Dez., Seite 2309-2324 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:66 year:2022 number:10 day:27 month:12 pages:2309-2324 https://dx.doi.org/10.1007/s11425-022-2072-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 AR 66 2022 10 27 12 2309-2324 |
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10.1007/s11425-022-2072-8 doi (DE-627)SPR053222857 (SPR)s11425-022-2072-8-e DE-627 ger DE-627 rakwb eng Lin, Wei verfasserin aut A standard form of incompressible surfaces in 3-dimensional handlebodies 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2022 Abstract Applying the Morse theory, we give a standard form for a class of surfaces which includes all the properly embedded incompressible surfaces in 3-dimensional handlebodies. We also give a necessary and sufficient condition to determine the incompressibility of such surfaces placed in our standard form. Our algorithm is practical. Several examples are given to test the algorithm. incompressible surface (dpeaa)DE-He213 handlebody (dpeaa)DE-He213 Morse theory (dpeaa)DE-He213 general position (dpeaa)DE-He213 Lei, Fengchun aut Enthalten in Science in China Asheville, NC : Science in China Press, 1995 66(2022), 10 vom: 27. Dez., Seite 2309-2324 (DE-627)325695059 (DE-600)2038800-7 1862-2763 nnns volume:66 year:2022 number:10 day:27 month:12 pages:2309-2324 https://dx.doi.org/10.1007/s11425-022-2072-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_152 GBV_ILN_161 GBV_ILN_171 GBV_ILN_187 GBV_ILN_224 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 AR 66 2022 10 27 12 2309-2324 |
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Enthalten in Science in China 66(2022), 10 vom: 27. Dez., Seite 2309-2324 volume:66 year:2022 number:10 day:27 month:12 pages:2309-2324 |
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Abstract Applying the Morse theory, we give a standard form for a class of surfaces which includes all the properly embedded incompressible surfaces in 3-dimensional handlebodies. We also give a necessary and sufficient condition to determine the incompressibility of such surfaces placed in our standard form. Our algorithm is practical. Several examples are given to test the algorithm. © Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2022 |
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Abstract Applying the Morse theory, we give a standard form for a class of surfaces which includes all the properly embedded incompressible surfaces in 3-dimensional handlebodies. We also give a necessary and sufficient condition to determine the incompressibility of such surfaces placed in our standard form. Our algorithm is practical. Several examples are given to test the algorithm. © Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2022 |
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Abstract Applying the Morse theory, we give a standard form for a class of surfaces which includes all the properly embedded incompressible surfaces in 3-dimensional handlebodies. We also give a necessary and sufficient condition to determine the incompressibility of such surfaces placed in our standard form. Our algorithm is practical. Several examples are given to test the algorithm. © Science China Press and Springer-Verlag GmbH Germany, part of Springer Nature 2022 |
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