Pregled bibliografske jedinice broj: 662480
There are no essential phantom mappings from 1-dimensional CW-complexes
There are no essential phantom mappings from 1-dimensional CW-complexes // Bulletin of the Polish Academy of Sciences. Mathematics, 61 (2013), 1; 141-147 doi:10.4064/ba61-2-7 (recenziran, članak, znanstveni)
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Naslov
There are no essential phantom mappings from 1-dimensional CW-complexes
Autori
Mardešić, Sibe
Izvornik
Bulletin of the Polish Academy of Sciences. Mathematics (0239-7269) 61
(2013), 1;
141-147
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
homotopy classification of mappings ; phantom mappings ; 1-dimensional CW-complexes
Sažetak
A phantom mapping h from a space Z to a space Y is a mapping whose restrictions to compact subsets are homotopic to constant mappings. If the mapping is not homotopic to a constant mapping, one speaks of an essential phantom mapping. In a previous paper the author showed that there are no essential phantom mappings between CW-complexes, if dimension of Y does not exceed 1. In the present paper it is shown that there are no essential phantom mappings between CW-complexes if dimension of Z does not exceed 1. There exist an essential phantom mapping from Z to Y, where dim Z = dim Y = 1, Y is a CW-complex, but Z is not.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
MZOS-037-0372791-2802 - Teorija dimenzije i oblika (Mardešić, Sibe, MZOS ) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Hrvatska akademija znanosti i umjetnosti,
Prirodoslovno-matematički fakultet, Zagreb
Profili:
Sibe Mardešić
(autor)
