Pregled bibliografske jedinice broj: 1028708
Box-homotopy and the reduction of pro*-HTop category
Box-homotopy and the reduction of pro*-HTop category // Homology homotopy and applications, 22 (2020), 1; 55-68 doi:10.4310/HHA.2020.v22.n1.a4 (međunarodna recenzija, članak, znanstveni)
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Naslov
Box-homotopy and the reduction of pro*-HTop
category
Autori
Koceić-Bilan, Nikola ; Mirošević, Ivančica
Izvornik
Homology homotopy and applications (1532-0073) 22
(2020), 1;
55-68
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
reduced product ; P-space ; box-homotopy ; pro*-category
Sažetak
A new generalized definition of homotopy is proposed, including a new class of continuous mappings that we call box-homotopies. It turns out that to be box-homotopic is an equivalence relation on Top(X, Y) and HTop(X, Y), and that it is well adjusted with composition, which allows us to introduce a new category H□Top, the corresponding quotient category of the category HTop, and consequently, pro-H□Top.We propose a new functor ˜R from pro*-HTop to pro- H□Top, which represents morphisms in pro*- category as morphisms in pro- category between more complex objects.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet elektrotehnike, strojarstva i brodogradnje, Split,
Prirodoslovno-matematički fakultet, Split
Citiraj ovu publikaciju:
Časopis indeksira:
- Current Contents Connect (CCC)
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
