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https://doi.org/10.3336/gm.51.2.01

The shapes in a concrete category

Nikica Uglešić ; University of Zadar, Pavlinovićeva 1, 23000 Zadar, Croatia

Puni tekst: engleski, pdf (414 KB) str. 255-306 preuzimanja: 290* citiraj
APA 6th Edition
Uglešić, N. (2016). The shapes in a concrete category. Glasnik matematički, 51 (2), 255-306. https://doi.org/10.3336/gm.51.2.01
MLA 8th Edition
Uglešić, Nikica. "The shapes in a concrete category." Glasnik matematički, vol. 51, br. 2, 2016, str. 255-306. https://doi.org/10.3336/gm.51.2.01. Citirano 28.11.2021.
Chicago 17th Edition
Uglešić, Nikica. "The shapes in a concrete category." Glasnik matematički 51, br. 2 (2016): 255-306. https://doi.org/10.3336/gm.51.2.01
Harvard
Uglešić, N. (2016). 'The shapes in a concrete category', Glasnik matematički, 51(2), str. 255-306. https://doi.org/10.3336/gm.51.2.01
Vancouver
Uglešić N. The shapes in a concrete category. Glasnik matematički [Internet]. 2016 [pristupljeno 28.11.2021.];51(2):255-306. https://doi.org/10.3336/gm.51.2.01
IEEE
N. Uglešić, "The shapes in a concrete category", Glasnik matematički, vol.51, br. 2, str. 255-306, 2016. [Online]. https://doi.org/10.3336/gm.51.2.01

Sažetak
We show under what conditions, and how, one can obtain a shape theory (various shape theories) in a concrete category. The technique is, roughly speaking, reduced to the quotients by congruences providing the objects of lower cardinalities. The application yields the new (coarser) classifications in every concrete category which admits sufficiently many non-trivial quotients. Thus, the ordering, (ultra)pseudometric, uniform and topological structures, as well as many algebraic and mixed (multi-) structures, give rise to interesting results.

Ključne riječi
(pointed) set; partially ordered set; (ultra)pseudometric space; topological space; monoid; group; ring; module; vector space; equivalence relation; congruence; (infinite) cardinal; concrete category; quotient object; dimension; expansion; pro-category; shape category

Hrčak ID: 170037

URI
https://hrcak.srce.hr/170037

Posjeta: 525 *