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http://hdl.handle.net/11320/4908Pełny rekord metadanych
| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Riccardi, Marco | pl |
| dc.date.accessioned | 2016-12-16T10:30:41Z | - |
| dc.date.available | 2016-12-16T10:30:41Z | - |
| dc.date.issued | 2015 | pl |
| dc.identifier.citation | Formalized Mathematics, Volume 23, Issue 4, 351–369 | pl |
| dc.identifier.issn | 1426-2630 | pl |
| dc.identifier.issn | 1898-9934 | pl |
| dc.identifier.uri | http://hdl.handle.net/11320/4908 | - |
| dc.description.abstract | In the first part of this article we formalize the concepts of terminal and initial object, categorical product [4] and natural transformation within a free-object category [1]. In particular, we show that this definition of natural transformation is equivalent to the standard definition [13]. Then we introduce the exponential object using its universal property and we show the isomorphism between the exponential object of categories and the functor category [12]. | pl |
| dc.language.iso | en | pl |
| dc.publisher | De Gruyter Open | pl |
| dc.subject | exponential objects | pl |
| dc.subject | functor category | pl |
| dc.subject | natural transformation | pl |
| dc.title | Exponential Objects | pl |
| dc.type | Article | pl |
| dc.identifier.doi | 10.1515/forma-2015-0028 | pl |
| dc.description.Affiliation | Via del Pero 102, 54038 Montignoso, Italy | pl |
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| dc.description.references | Beata Padlewska. Families of sets. Formalized Mathematics, 1(1):147–152, 1990. | pl |
| dc.description.references | Marco Riccardi. Object-free definition of categories. Formalized Mathematics, 21(3): 193–205, 2013. doi:10.2478/forma-2013-0021. [Crossref] | pl |
| dc.description.references | Marco Riccardi. Categorical pullbacks. Formalized Mathematics, 23(1):1–14, 2015. doi:10.2478/forma-2015-0001. [Crossref] | pl |
| dc.description.references | Andrzej Trybulec. Enumerated sets. Formalized Mathematics, 1(1):25–34, 1990. | pl |
| dc.description.references | Andrzej Trybulec. Isomorphisms of categories. Formalized Mathematics, 2(5):629–634, 1991. | pl |
| dc.description.references | Andrzej Trybulec. Natural transformations. Discrete categories. Formalized Mathematics, 2(4):467–474, 1991. | pl |
| dc.description.references | Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67–71, 1990. | pl |
| dc.description.references | Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1 (1):73–83, 1990. | pl |
| dc.description.references | Edmund Woronowicz. Relations defined on sets. Formalized Mathematics, 1(1):181–186, 1990. | pl |
| Występuje w kolekcji(ach): | Formalized Mathematics, 2015, Volume 23, Issue 4 | |
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| Plik | Opis | Rozmiar | Format | |
|---|---|---|---|---|
| forma-2015-0028.pdf | 320,92 kB | Adobe PDF | Otwórz |
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