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| Pole DC | Wartość | Język |
|---|---|---|
| dc.contributor.author | Bancerek, Grzegorz | - |
| dc.date.accessioned | 2026-11-05T09:04:02Z | - |
| dc.date.available | 2026-11-05T09:04:02Z | - |
| dc.date.issued | 2005 | - |
| dc.identifier.citation | Formalized Mathematics, Volume 13, Issue 1, Pages 163-169 | pl |
| dc.identifier.issn | 1426-2630 | - |
| dc.identifier.uri | http://hdl.handle.net/11320/21435 | - |
| dc.description.abstract | We continue Mizar formalization of General Topology according to the book [13] by Engelking. In the article the formalization of Section 1.1 is completed. Namely, the paper includes the formalization of theorems on correspondence of the basis and basis in a point, definitions of the character of a point and a topological space, a neighborhood system, and the weight of a topological space. The formalization is tested with almost discrete topological spaces with infinity. | pl |
| dc.language.iso | en | pl |
| dc.publisher | University of Białystok | pl |
| dc.rights | CC BY-SA 4.0 | - |
| dc.rights.uri | https://creativecommons.org/licenses/by-sa/4.0/ | - |
| dc.title | On the Characteristic and Weight of a Topological Space | pl |
| dc.type | Article | pl |
| dc.rights.holder | © 2005 University of Białystok | pl |
| dc.rights.holder | This work is licensed under the Creative Commons License. | pl |
| dc.description.Affiliation | Białystok Technical University | pl |
| dc.description.references | Grzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377–382, 1990. | pl |
| dc.description.references | Grzegorz Bancerek. Curried and uncurried functions. Formalized Mathematics, 1(3):537-541, 1990. | pl |
| dc.description.references | Grzegorz Bancerek. König’s theorem. Formalized Mathematics, 1(3):589–593, 1990. | pl |
| dc.description.references | Grzegorz Bancerek. The ordinal numbers. Formalized Mathematics, 1(1):91–96, 1990. | pl |
| dc.description.references | Grzegorz Bancerek. Minimal signature for partial algebra. Formalized Mathematics, 5(3):405–414, 1996. | pl |
| dc.description.references | Grzegorz Bancerek. Bases and refinements of topologies. Formalized Mathematics, 7(1):35–43, 1998. | pl |
| dc.description.references | Grzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107–114, 1990. | pl |
| dc.description.references | Leszek Borys. Paracompact and metrizable spaces. Formalized Mathematics, 2(4):481-485, 1991. | pl |
| 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 | Agata Darmochwał. Families of subsets, subspaces and mappings in topological spaces. Formalized Mathematics, 1(2):257–261, 1990. | pl |
| dc.description.references | Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165–167, 1990. | pl |
| dc.description.references | Ryszard Engelking. General Topology, volume 60 of Monografie Matematyczne. PWN Polish Scientific Publishers, Warsaw, 1977. | pl |
| dc.description.references | Zbigniew Karno. The lattice of domains of an extremally disconnected space. Formalized Mathematics, 3(2):143–149, 1992. | pl |
| dc.description.references | Robert Milewski. Bases of continuous lattices. Formalized Mathematics, 7(2):285–294, 1998. | pl |
| dc.description.references | Beata Padlewska. Families of sets. Formalized Mathematics, 1(1):147–152, 1990. | pl |
| dc.description.references | Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223–230, 1990. | pl |
| dc.description.references | Konrad Raczkowski and Paweł Sadowski. Equivalence relations and classes of abstraction. Formalized Mathematics, 1(3):441–444, 1990. | pl |
| dc.description.references | Alexander Yu. Shibakov and Andrzej Trybulec. The Cantor set. Formalized Mathematics, 5(2):233–236, 1996. | pl |
| dc.description.references | Bartłomiej Skorulski. First-countable, sequential, and Frechet spaces. Formalized Mathematics, 7(1):81–86, 1998. | pl |
| dc.description.references | Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115–122, 1990. | pl |
| dc.description.references | Andrzej Trybulec. Tarski Grothendieck set theory. Formalized Mathematics, 1(1):9–11, 1990. | pl |
| dc.description.references | Andrzej Trybulec. Baire spaces, Sober spaces. Formalized Mathematics, 6(2):289–294, 1997. | pl |
| dc.description.references | Andrzej Trybulec and Agata Darmochwa l. Boolean domains. Formalized Mathematics, 1(1):187–190, 1990. | pl |
| dc.description.references | Wojciech A. Trybulec. Groups. Formalized Mathematics, 1(5):821–827, 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 |
| dc.description.references | Mirosław Wysocki and Agata Darmochwał. Subsets of topological spaces. Formalized Mathematics, 1(1):231–237, 1990. | pl |
| dc.identifier.eissn | 1898-9934 | - |
| dc.description.volume | 13 | pl |
| dc.description.issue | 1 | pl |
| dc.description.firstpage | 163 | pl |
| dc.description.lastpage | 169 | pl |
| dc.identifier.citation2 | Formalized Mathematics | pl |
| Występuje w kolekcji(ach): | Formalized Mathematics, 2005, Volume 13, Issue 1 | |
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|---|---|---|---|---|
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