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http://hdl.handle.net/11320/4834Pełny rekord metadanych
| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Riccardi, Marco | pl |
| dc.date.accessioned | 2016-12-06T02:00:00Z | pl |
| dc.date.available | 2016-12-06T02:00:00Z | pl |
| dc.date.issued | 2015 | pl |
| dc.identifier.citation | Formalized Mathematics, Volume 23, Issue 1, Pages 1–14 | pl |
| dc.identifier.issn | 1426-2630 | pl |
| dc.identifier.issn | 1898-9934 | pl |
| dc.identifier.uri | http://hdl.handle.net/11320/4834 | - |
| dc.description.abstract | The main purpose of this article is to introduce the categorical concept of pullback in Mizar. In the first part of this article we redefine homsets, monomorphisms, epimorpshisms and isomorphisms [7] within a free-object category [1] and it is shown there that ordinal numbers can be considered as categories. Then the pullback is introduced in terms of its universal property and the Pullback Lemma is formalized [15]. In the last part of the article we formalize the pullback of functors [14] and it is also shown that it is not possible to write an equivalent definition in the context of the previous Mizar formalization of category theory [8]. | pl |
| dc.language.iso | en | pl |
| dc.publisher | De Gruyter Open | pl |
| dc.subject | pullback lemma | pl |
| dc.subject | category pullback | pl |
| dc.title | Categorical Pullbacks | pl |
| dc.type | Article | pl |
| dc.identifier.doi | 10.2478/forma-2015-0001 | pl |
| dc.description.Affiliation | Via del Pero 102, 54038 Montignoso, Italy | pl |
| dc.description.references | Jiri Adamek, Horst Herrlich, and George E. Strecker. Abstract and Concrete Categories: The Joy of Cats. Dover Publication, New York, 2009. | pl |
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| dc.description.references | Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1): 55–65, 1990. | pl |
| dc.description.references | Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153–164, 1990. | pl |
| dc.description.references | Czesław Byliński. Partial functions. Formalized Mathematics, 1(2):357–367, 1990. | pl |
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| dc.description.references | Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165–167, 1990. | pl |
| dc.description.references | F. William Lawvere. Functorial semantics of algebraic theories and some algebraic problems in the context of functorial semantics of algebraic theories. Reprints in Theory and Applications of Categories, 5:1–121, 2004. | pl |
| dc.description.references | Saunders Mac Lane. Categories for the Working Mathematician, volume 5 of Graduate Texts in Mathematics. Springer Verlag, New York, Heidelberg, Berlin, 1971. | pl |
| 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. | pl |
| dc.description.references | Andrzej Trybulec. Enumerated sets. Formalized Mathematics, 1(1):25–34, 1990. | 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 1 | |
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| Plik | Opis | Rozmiar | Format | |
|---|---|---|---|---|
| forma-2015-0001.pdf | 272,78 kB | Adobe PDF | Otwórz |
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