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THE GROUP OF SELF-HOMOTOPY EQUIVALENCES OF A SIMPLY CONNECTED AND 4-DIMENSIONAL CW-COMPLEX

Yıl 2016, , 19 - 34, 01.06.2016
https://doi.org/10.24330/ieja.266190

Öz

Let X be a CW complex, E(X) the group of homotopy classes
of self-homotopy equivalences of X and E∗(X) its subgroup of the elements
that induce the identity on homology. This paper deals with the problem 19
in [Contemp. Math., 519 (2010), 217-230]. Given a group G, find a space X
such that E(X) E∗(X) = G. For a simply connected and 4-dimensional CW-complex
X we define a group B 4 ⊂ aut(H∗(X,Z)) in term of the Whitehead exact sequence
of X and we show that this problem has a solution if G ∼= B 4 for some space X.

Yıl 2016, , 19 - 34, 01.06.2016
https://doi.org/10.24330/ieja.266190

Öz

Toplam 0 adet kaynakça vardır.

Ayrıntılar

Konular Matematik
Diğer ID JA57NF47BY
Bölüm Makaleler
Yazarlar

Mahmoud Benkhalifa Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2016
Yayımlandığı Sayı Yıl 2016

Kaynak Göster

APA Benkhalifa, M. (2016). THE GROUP OF SELF-HOMOTOPY EQUIVALENCES OF A SIMPLY CONNECTED AND 4-DIMENSIONAL CW-COMPLEX. International Electronic Journal of Algebra, 19(19), 19-34. https://doi.org/10.24330/ieja.266190
AMA Benkhalifa M. THE GROUP OF SELF-HOMOTOPY EQUIVALENCES OF A SIMPLY CONNECTED AND 4-DIMENSIONAL CW-COMPLEX. IEJA. Haziran 2016;19(19):19-34. doi:10.24330/ieja.266190
Chicago Benkhalifa, Mahmoud. “THE GROUP OF SELF-HOMOTOPY EQUIVALENCES OF A SIMPLY CONNECTED AND 4-DIMENSIONAL CW-COMPLEX”. International Electronic Journal of Algebra 19, sy. 19 (Haziran 2016): 19-34. https://doi.org/10.24330/ieja.266190.
EndNote Benkhalifa M (01 Haziran 2016) THE GROUP OF SELF-HOMOTOPY EQUIVALENCES OF A SIMPLY CONNECTED AND 4-DIMENSIONAL CW-COMPLEX. International Electronic Journal of Algebra 19 19 19–34.
IEEE M. Benkhalifa, “THE GROUP OF SELF-HOMOTOPY EQUIVALENCES OF A SIMPLY CONNECTED AND 4-DIMENSIONAL CW-COMPLEX”, IEJA, c. 19, sy. 19, ss. 19–34, 2016, doi: 10.24330/ieja.266190.
ISNAD Benkhalifa, Mahmoud. “THE GROUP OF SELF-HOMOTOPY EQUIVALENCES OF A SIMPLY CONNECTED AND 4-DIMENSIONAL CW-COMPLEX”. International Electronic Journal of Algebra 19/19 (Haziran 2016), 19-34. https://doi.org/10.24330/ieja.266190.
JAMA Benkhalifa M. THE GROUP OF SELF-HOMOTOPY EQUIVALENCES OF A SIMPLY CONNECTED AND 4-DIMENSIONAL CW-COMPLEX. IEJA. 2016;19:19–34.
MLA Benkhalifa, Mahmoud. “THE GROUP OF SELF-HOMOTOPY EQUIVALENCES OF A SIMPLY CONNECTED AND 4-DIMENSIONAL CW-COMPLEX”. International Electronic Journal of Algebra, c. 19, sy. 19, 2016, ss. 19-34, doi:10.24330/ieja.266190.
Vancouver Benkhalifa M. THE GROUP OF SELF-HOMOTOPY EQUIVALENCES OF A SIMPLY CONNECTED AND 4-DIMENSIONAL CW-COMPLEX. IEJA. 2016;19(19):19-34.