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Pregled bibliografske jedinice broj: 340778

There are no phantom pairs of mappings to 1-dimensional CW- complexes


Mardešić, Sibe
There are no phantom pairs of mappings to 1-dimensional CW- complexes // Bulletin of the Polish Academy of Sciences. Mathematics, 55 (2007), 4; 365-371 doi:10.4064/ba55-4-8 (recenziran, članak, znanstveni)


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Naslov
There are no phantom pairs of mappings to 1-dimensional CW- complexes

Autori
Mardešić, Sibe

Izvornik
Bulletin of the Polish Academy of Sciences. Mathematics (0239-7269) 55 (2007), 4; 365-371

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

Ključne riječi
homotopy classification of mappings ; 1-dimensional CW-complexes ; phantom pairs of mappings ; fundamental group ; free group

Sažetak
Two mappings are said to form a phantom pair provided they are not homotopic although their restrictions to any compact subset are homotopic. It is proved that there are no phantom pairs of mappings between 1-dimensional CW-complexes. To obtain his result the author proves a certain theorem on free groups.

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,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Sibe Mardešić (autor)

Poveznice na cjeloviti tekst rada:

doi www.impan.pl www.impan.pl

Citiraj ovu publikaciju:

Mardešić, Sibe
There are no phantom pairs of mappings to 1-dimensional CW- complexes // Bulletin of the Polish Academy of Sciences. Mathematics, 55 (2007), 4; 365-371 doi:10.4064/ba55-4-8 (recenziran, članak, znanstveni)
Mardešić, S. (2007) There are no phantom pairs of mappings to 1-dimensional CW- complexes. Bulletin of the Polish Academy of Sciences. Mathematics, 55 (4), 365-371 doi:10.4064/ba55-4-8.
@article{article, author = {Marde\v{s}i\'{c}, Sibe}, year = {2007}, pages = {365-371}, DOI = {10.4064/ba55-4-8}, keywords = {homotopy classification of mappings, 1-dimensional CW-complexes, phantom pairs of mappings, fundamental group, free group}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, doi = {10.4064/ba55-4-8}, volume = {55}, number = {4}, issn = {0239-7269}, title = {There are no phantom pairs of mappings to 1-dimensional CW- complexes}, keyword = {homotopy classification of mappings, 1-dimensional CW-complexes, phantom pairs of mappings, fundamental group, free group} }
@article{article, author = {Marde\v{s}i\'{c}, Sibe}, year = {2007}, pages = {365-371}, DOI = {10.4064/ba55-4-8}, keywords = {homotopy classification of mappings, 1-dimensional CW-complexes, phantom pairs of mappings, fundamental group, free group}, journal = {Bulletin of the Polish Academy of Sciences. Mathematics}, doi = {10.4064/ba55-4-8}, volume = {55}, number = {4}, issn = {0239-7269}, title = {There are no phantom pairs of mappings to 1-dimensional CW- complexes}, keyword = {homotopy classification of mappings, 1-dimensional CW-complexes, phantom pairs of mappings, fundamental group, free group} }

Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts


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