Embedding ω-continuous posets in function spaces of domains
Abstract We prove a number of results, including the following: IfD is an ω-algebraic poset which is not an antichain, andE is an ω-continuous poset, then there exists a Scott-continuous order-embedding fromE to [D»D]; in particular, there exists a Scott-continuous order-embedding from (P(ω), ⊂-) to...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Kale, Kishor [verfasserIn] |
|---|
| Format: |
Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
1994 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer-Verlag New York Inc 1994 |
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| Übergeordnetes Werk: |
Enthalten in: Semigroup forum - Springer-Verlag, 1970, 49(1994), 1 vom: Dez., Seite 247-259 |
|---|---|
| Übergeordnetes Werk: |
volume:49 ; year:1994 ; number:1 ; month:12 ; pages:247-259 |
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| DOI / URN: |
10.1007/BF02573487 |
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| 520 | |a Abstract We prove a number of results, including the following: IfD is an ω-algebraic poset which is not an antichain, andE is an ω-continuous poset, then there exists a Scott-continuous order-embedding fromE to [D»D]; in particular, there exists a Scott-continuous order-embedding from (P(ω), ⊂-) to [D»D]. The proof of this main result does not use the Axiom of Choice. | ||
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10.1007/BF02573487 doi (DE-627)OLC2044746042 (DE-He213)BF02573487-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Kale, Kishor verfasserin aut Embedding ω-continuous posets in function spaces of domains 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag New York Inc 1994 Abstract We prove a number of results, including the following: IfD is an ω-algebraic poset which is not an antichain, andE is an ω-continuous poset, then there exists a Scott-continuous order-embedding fromE to [D»D]; in particular, there exists a Scott-continuous order-embedding from (P(ω), ⊂-) to [D»D]. The proof of this main result does not use the Axiom of Choice. Minimal Element Infinite Chain Compact Element Bottom Element Scott Topology Enthalten in Semigroup forum Springer-Verlag, 1970 49(1994), 1 vom: Dez., Seite 247-259 (DE-627)129541842 (DE-600)217500-9 (DE-576)014990733 0037-1912 nnns volume:49 year:1994 number:1 month:12 pages:247-259 https://doi.org/10.1007/BF02573487 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2244 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4103 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4325 AR 49 1994 1 12 247-259 |
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10.1007/BF02573487 doi (DE-627)OLC2044746042 (DE-He213)BF02573487-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Kale, Kishor verfasserin aut Embedding ω-continuous posets in function spaces of domains 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag New York Inc 1994 Abstract We prove a number of results, including the following: IfD is an ω-algebraic poset which is not an antichain, andE is an ω-continuous poset, then there exists a Scott-continuous order-embedding fromE to [D»D]; in particular, there exists a Scott-continuous order-embedding from (P(ω), ⊂-) to [D»D]. The proof of this main result does not use the Axiom of Choice. Minimal Element Infinite Chain Compact Element Bottom Element Scott Topology Enthalten in Semigroup forum Springer-Verlag, 1970 49(1994), 1 vom: Dez., Seite 247-259 (DE-627)129541842 (DE-600)217500-9 (DE-576)014990733 0037-1912 nnns volume:49 year:1994 number:1 month:12 pages:247-259 https://doi.org/10.1007/BF02573487 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2244 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4103 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4325 AR 49 1994 1 12 247-259 |
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10.1007/BF02573487 doi (DE-627)OLC2044746042 (DE-He213)BF02573487-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Kale, Kishor verfasserin aut Embedding ω-continuous posets in function spaces of domains 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag New York Inc 1994 Abstract We prove a number of results, including the following: IfD is an ω-algebraic poset which is not an antichain, andE is an ω-continuous poset, then there exists a Scott-continuous order-embedding fromE to [D»D]; in particular, there exists a Scott-continuous order-embedding from (P(ω), ⊂-) to [D»D]. The proof of this main result does not use the Axiom of Choice. Minimal Element Infinite Chain Compact Element Bottom Element Scott Topology Enthalten in Semigroup forum Springer-Verlag, 1970 49(1994), 1 vom: Dez., Seite 247-259 (DE-627)129541842 (DE-600)217500-9 (DE-576)014990733 0037-1912 nnns volume:49 year:1994 number:1 month:12 pages:247-259 https://doi.org/10.1007/BF02573487 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2244 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4103 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4325 AR 49 1994 1 12 247-259 |
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10.1007/BF02573487 doi (DE-627)OLC2044746042 (DE-He213)BF02573487-p DE-627 ger DE-627 rakwb eng 510 VZ 17,1 ssgn Kale, Kishor verfasserin aut Embedding ω-continuous posets in function spaces of domains 1994 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag New York Inc 1994 Abstract We prove a number of results, including the following: IfD is an ω-algebraic poset which is not an antichain, andE is an ω-continuous poset, then there exists a Scott-continuous order-embedding fromE to [D»D]; in particular, there exists a Scott-continuous order-embedding from (P(ω), ⊂-) to [D»D]. The proof of this main result does not use the Axiom of Choice. Minimal Element Infinite Chain Compact Element Bottom Element Scott Topology Enthalten in Semigroup forum Springer-Verlag, 1970 49(1994), 1 vom: Dez., Seite 247-259 (DE-627)129541842 (DE-600)217500-9 (DE-576)014990733 0037-1912 nnns volume:49 year:1994 number:1 month:12 pages:247-259 https://doi.org/10.1007/BF02573487 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_24 GBV_ILN_30 GBV_ILN_40 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2002 GBV_ILN_2006 GBV_ILN_2009 GBV_ILN_2012 GBV_ILN_2018 GBV_ILN_2088 GBV_ILN_2244 GBV_ILN_4012 GBV_ILN_4036 GBV_ILN_4103 GBV_ILN_4307 GBV_ILN_4310 GBV_ILN_4314 GBV_ILN_4315 GBV_ILN_4318 GBV_ILN_4325 AR 49 1994 1 12 247-259 |
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Embedding ω-continuous posets in function spaces of domains |
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Abstract We prove a number of results, including the following: IfD is an ω-algebraic poset which is not an antichain, andE is an ω-continuous poset, then there exists a Scott-continuous order-embedding fromE to [D»D]; in particular, there exists a Scott-continuous order-embedding from (P(ω), ⊂-) to [D»D]. The proof of this main result does not use the Axiom of Choice. © Springer-Verlag New York Inc 1994 |
| abstractGer |
Abstract We prove a number of results, including the following: IfD is an ω-algebraic poset which is not an antichain, andE is an ω-continuous poset, then there exists a Scott-continuous order-embedding fromE to [D»D]; in particular, there exists a Scott-continuous order-embedding from (P(ω), ⊂-) to [D»D]. The proof of this main result does not use the Axiom of Choice. © Springer-Verlag New York Inc 1994 |
| abstract_unstemmed |
Abstract We prove a number of results, including the following: IfD is an ω-algebraic poset which is not an antichain, andE is an ω-continuous poset, then there exists a Scott-continuous order-embedding fromE to [D»D]; in particular, there exists a Scott-continuous order-embedding from (P(ω), ⊂-) to [D»D]. The proof of this main result does not use the Axiom of Choice. © Springer-Verlag New York Inc 1994 |
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| title_short |
Embedding ω-continuous posets in function spaces of domains |
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https://doi.org/10.1007/BF02573487 |
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