VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
• Sequential rectifiable spaces of countable $\mathrm{cs}^\ast$-character
Banakh, Taras, 1968- ; Repovš, Dušan, 1954-
We prove that each non-metrizable sequential rectifiable space $X$ of countable $\mathrm{cs}^\ast$-character contains a clopen rectifiable submetrizable $k_\omega$-subspace $H$ and admits a ... disjoint cover by open subsets homeomorphic to clopen subspaces of $H$. This implies that each sequential rectifiable space of countable $\mathrm{cs}^\ast$-character is either metrizable or a topological sum of submetrizable $k_\omega$-spaces. Consequently, $X$ is submetrizable and paracompact. This answers a question of Lin and Shen posed in 2011.
Vir: Bulletin of the Malaysian Mathematical Sciences Society. - ISSN 0126-6705 (Vol. 40, iss. 3, July 2017, str. 975-993)
Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
Leto - 2017
Jezik - angleški
COBISS.SI-ID - 17637977
vir: Bulletin of the Malaysian Mathematical Sciences Society. - ISSN 0126-6705 (Vol. 40, iss. 3, July 2017, str. 975-993)