Naslov
A note on strong homology of inverse systems

Autori
Mardešić, Sibe

Izvornik
Tsukuba journal of mathematics (0387-4982) 11 (1987), 1; 177-197

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
topological spaces ; strong homology

Sažetak
For every inverse system X={;Xλ, pλλ ; Λ}; of topological spaces the strong homology groups Hsk(X ; G) have been defined by Yu. T. Lisitsaand the author [Topology Appl. 19 (1985), no. 1, 29–43 ; MR0786079]. In the present note it is shown that Hsk(X ; G) is canonically isomorphic to Hsk(X∗ ; G), where X∗={;X∗α, p∗αα ; Λ∗};, Λ∗ consists of all finite subsets α of Λ having maximum m(α), Λ∗ is ordered by inclusion, X∗α=Xm(α) and p∗αα′=pm(α)m(α′).

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA