Pregled bibliografske jedinice broj: 835982
Continuity of coarse shape groups
Continuity of coarse shape groups // Homology homotopy and applications, 18 (2016), 2; 209-215 doi:10.4310/HHA.2016.v18.n2.a11 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 835982 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Continuity of coarse shape groups
Autori
Koceić-Bilan, Nikola
Izvornik
Homology homotopy and applications (1532-0073) 18
(2016), 2;
209-215
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
inverse limit ; inverse system ; pro-category ; pro*-category ; expansion ; shape ; coarse shape ; homotopy (pro-) group ; coarse shape group
Sažetak
We show that every coarse shape group can be obtained as the inverse limit of an inverse system of the groups coming from an HPol(*)-expansion. This provides a way of computing of these interesting topological invariants (whose algebraic structure is significantly richer than those of the homotopy and shape groups) in an easier manner. It is proven that, for inverse systems of compact polyhedra, the coarse shape group functor commutes with the inverse limit.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Prirodoslovno-matematički fakultet, Split
Profili:
Nikola Koceić-Bilan
(autor)
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
Uključenost u ostale bibliografske baze podataka::
- MathSciNet
