Rational homotopy theory of spaces 1-connected by shape
Abstract A rational shape type and a strong rational shape type are defined for the class of spaces 1-connected by shape. This class is a natural generalization of the class of 1-connected spaces for which the rational homotopy theory was constructed in work [10]. With the use of the category of inv...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Marchenko, Vladimir V. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2019 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, LLC, part of Springer Nature 2019 |
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| Übergeordnetes Werk: |
Enthalten in: Journal of mathematical sciences - Springer US, 1994, 242(2019), 3 vom: 29. Aug., Seite 413-426 |
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| Übergeordnetes Werk: |
volume:242 ; year:2019 ; number:3 ; day:29 ; month:08 ; pages:413-426 |
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| DOI / URN: |
10.1007/s10958-019-04486-5 |
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OLC203084179X |
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| 520 | |a Abstract A rational shape type and a strong rational shape type are defined for the class of spaces 1-connected by shape. This class is a natural generalization of the class of 1-connected spaces for which the rational homotopy theory was constructed in work [10]. With the use of the category of inverse systems, the result in [10] on the equivalence of homotopy theories is extended onto the class of spaces 1-connected by shape. | ||
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| 650 | 4 | |a theory of shape | |
| 650 | 4 | |a rational shape theory | |
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10.1007/s10958-019-04486-5 doi (DE-627)OLC203084179X (DE-He213)s10958-019-04486-5-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn 31.00 bkl Marchenko, Vladimir V. verfasserin aut Rational homotopy theory of spaces 1-connected by shape 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2019 Abstract A rational shape type and a strong rational shape type are defined for the class of spaces 1-connected by shape. This class is a natural generalization of the class of 1-connected spaces for which the rational homotopy theory was constructed in work [10]. With the use of the category of inverse systems, the result in [10] on the equivalence of homotopy theories is extended onto the class of spaces 1-connected by shape. Homotopy theory rational homotopy theory theory of shape rational shape theory Enthalten in Journal of mathematical sciences Springer US, 1994 242(2019), 3 vom: 29. Aug., Seite 413-426 (DE-627)18219762X (DE-600)1185490-X (DE-576)038888130 1072-3374 nnns volume:242 year:2019 number:3 day:29 month:08 pages:413-426 https://doi.org/10.1007/s10958-019-04486-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 31.00 VZ AR 242 2019 3 29 08 413-426 |
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10.1007/s10958-019-04486-5 doi (DE-627)OLC203084179X (DE-He213)s10958-019-04486-5-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn 31.00 bkl Marchenko, Vladimir V. verfasserin aut Rational homotopy theory of spaces 1-connected by shape 2019 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, LLC, part of Springer Nature 2019 Abstract A rational shape type and a strong rational shape type are defined for the class of spaces 1-connected by shape. This class is a natural generalization of the class of 1-connected spaces for which the rational homotopy theory was constructed in work [10]. With the use of the category of inverse systems, the result in [10] on the equivalence of homotopy theories is extended onto the class of spaces 1-connected by shape. Homotopy theory rational homotopy theory theory of shape rational shape theory Enthalten in Journal of mathematical sciences Springer US, 1994 242(2019), 3 vom: 29. Aug., Seite 413-426 (DE-627)18219762X (DE-600)1185490-X (DE-576)038888130 1072-3374 nnns volume:242 year:2019 number:3 day:29 month:08 pages:413-426 https://doi.org/10.1007/s10958-019-04486-5 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_70 31.00 VZ AR 242 2019 3 29 08 413-426 |
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Abstract A rational shape type and a strong rational shape type are defined for the class of spaces 1-connected by shape. This class is a natural generalization of the class of 1-connected spaces for which the rational homotopy theory was constructed in work [10]. With the use of the category of inverse systems, the result in [10] on the equivalence of homotopy theories is extended onto the class of spaces 1-connected by shape. © Springer Science+Business Media, LLC, part of Springer Nature 2019 |
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Abstract A rational shape type and a strong rational shape type are defined for the class of spaces 1-connected by shape. This class is a natural generalization of the class of 1-connected spaces for which the rational homotopy theory was constructed in work [10]. With the use of the category of inverse systems, the result in [10] on the equivalence of homotopy theories is extended onto the class of spaces 1-connected by shape. © Springer Science+Business Media, LLC, part of Springer Nature 2019 |
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Abstract A rational shape type and a strong rational shape type are defined for the class of spaces 1-connected by shape. This class is a natural generalization of the class of 1-connected spaces for which the rational homotopy theory was constructed in work [10]. With the use of the category of inverse systems, the result in [10] on the equivalence of homotopy theories is extended onto the class of spaces 1-connected by shape. © Springer Science+Business Media, LLC, part of Springer Nature 2019 |
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