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https://dipositint.ub.edu/dspace/handle/2445/151857
Title: | Conjuntos de nivel y prolongación de funciones monótonas |
Author: | Augé Farreras, Juan, 1919-1993 |
Keywords: | Conjunts parcialment ordenats Funcions de variables complexes Estructures algebraiques ordenades Universitat de Barcelona. Institut de Matemàtica |
Issue Date: | 1989 |
Publisher: | Universitat de Barcelona |
Series/Report no: | Mathematics Preprint Series; 72 |
Abstract: | The fundamental concepts of the theory of level sets of real functions defined on an arbitrary set, with no topology, but only with a partial order structure, are exposed. Then we consider monotonic functions defined on subsets of the given set, and their possible extensions to larger sets which preserve monotonicity and have the optima! property that the oscillation of the function remains unchanged. |
Note: | Preprint enviat per a la seva publicació en una revista científica. |
Note: | Reproducció digital del document original en paper [CRAI Biblioteca de Matemàtiques i Informàtica - Dipòsit Departament CAIXA 32.13] |
URI: | https://hdl.handle.net/2445/151857 |
Appears in Collections: | Preprints de Matemàtiques - Mathematics Preprint Series |
Files in This Item:
File | Description | Size | Format | |
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MPS_N072.pdf | 775.21 kB | Adobe PDF | View/Open |
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