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

• Autorzy: Mardešić S.
• Języki publikacji: EN

Abstrakty

EN

Two mappings from a CW-complex to a 1-dimensional CW-complex are homotopic if and only if their restrictions to finite subcomplexes are homotopic.

Słowa kluczowe

EN

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

PL

grupa podstawowa; grupa wolna

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2007
• Tom: Vol. 55, no 4
• Strony: 365--371
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Mardešić S.

• Department of Mathematics, University of Zagreb, Bijenicka cesta 30, 10 002 Zagreb, P.O. Box 335, Croatia,

Bibliografia

• [1] A. Hatcher, Algebraic Topology, Cambridge Univ. Press, Cambridge, 2002.
• [2j R. C. Lyndon and P. E. Schupp, Combinatorial Group Theory, Springer, Berlin, 1977.
• [3] W. Magnus, A. Karrass and D. Solitar, Combinatorial Group Theory: Presentation of Groups in Terms of Generators and Relations, Interscience, New York, 1966.
• [4] W. S. Massey, A Basic Course in Algebraic Topology, Grad. Texts in Math. 127, Springer, New York, 1991.
• [5] C. A. McGibbon, Phantom maps, in: Handbook of Algebraic Topology, Chapter 25, I. M. James (ed.), Elsevier, Amsterdam, 1995, 1209-1257.