On generalized metric properties of the Fell hyperspace
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| 001 | 605496463 | ||
| 003 | CHVBK | ||
| 005 | 20210128100536.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151001xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10231-014-0418-2 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10231-014-0418-2 | ||
| 245 | 0 | 0 | |a On generalized metric properties of the Fell hyperspace |h [Elektronische Daten] |c [L'ubica Holá, László Zsilinszky] |
| 520 | 3 | |a It is shown that if $$X$$ X contains a closed uncountable discrete subspace, then the Tychonoff plank embeds in the hyperspace $$CL(X)$$ C L ( X ) of the non-empty closed subsets of $$X$$ X with the Fell topology $$\tau _F$$ τ F as a closed subspace. As a consequence, a plethora of properties is proved to be equivalent to normality and metrizability, respectively, of $$(CL(X),\tau _F)$$ ( C L ( X ) , τ F ) . Countable paracompactness, pseudonormality and other weak normality properties of the Fell topology are also characterized. | |
| 540 | |a Fondazione Annali di Matematica Pura ed Applicata and Springer-Verlag Berlin Heidelberg, 2014 | ||
| 690 | 7 | |a Fell topology |2 nationallicence | |
| 690 | 7 | |a Vietoris topology |2 nationallicence | |
| 690 | 7 | |a Tychonoff plank |2 nationallicence | |
| 690 | 7 | |a Extent |2 nationallicence | |
| 690 | 7 | |a Spread |2 nationallicence | |
| 690 | 7 | |a Metrizable |2 nationallicence | |
| 690 | 7 | |a Lindelöf |2 nationallicence | |
| 690 | 7 | |a (hereditary) normal |2 nationallicence | |
| 690 | 7 | |a Monotonically normal |2 nationallicence | |
| 690 | 7 | |a $$\delta $$ δ -Normal |2 nationallicence | |
| 690 | 7 | |a Pseudonormal |2 nationallicence | |
| 690 | 7 | |a Countably paracompact |2 nationallicence | |
| 700 | 1 | |a Holá |D L'ubica |u Academy of Sciences, Institute of Mathematics, Štefánikova 49, 81473, Bratislava, Slovakia |4 aut | |
| 700 | 1 | |a Zsilinszky |D László |u Department of Mathematics and Computer Science, The University of North Carolina at Pembroke, 28372, Pembroke, NC, USA |4 aut | |
| 773 | 0 | |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/5(2015-10-01), 1259-1267 |x 0373-3114 |q 194:5<1259 |1 2015 |2 194 |o 10231 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10231-014-0418-2 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10231-014-0418-2 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Holá |D L'ubica |u Academy of Sciences, Institute of Mathematics, Štefánikova 49, 81473, Bratislava, Slovakia |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Zsilinszky |D László |u Department of Mathematics and Computer Science, The University of North Carolina at Pembroke, 28372, Pembroke, NC, USA |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Annali di Matematica Pura ed Applicata (1923 -) |d Springer Berlin Heidelberg |g 194/5(2015-10-01), 1259-1267 |x 0373-3114 |q 194:5<1259 |1 2015 |2 194 |o 10231 | ||