Extensional maps and approximate inverse limits
| Autor: | Matthew Lynam, Leonard R. Rubin |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
010102 general mathematics Hausdorff space Inverse 01 natural sciences Extensional definition 010101 applied mathematics Surjective function Metric space symbols.namesake Weierstrass factorization theorem symbols Geometry and Topology 0101 mathematics Equivalence (formal languages) Extension theory Mathematics |
| Zdroj: | Topology and its Applications. 239:324-336 |
| ISSN: | 0166-8641 |
| Popis: | In 2012, Žiga Virk introduced the notion of an extensional equivalence, herein called an extensional map, and used it to generalize part of the extension theory factorization theorem of M. Levin, L. Rubin, and P. Schapiro. Here were are going to study this notion in the setting of inverse systems of compact Hausdorff spaces and approximate inverse systems of compact metric spaces. In both cases we will show that given a surjective map f to the limit, if each coordinate map p γ ∘ f is an extensional map, then so is f. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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