A criterion of SNT(X) = {[X]} for hyperformal spaces

• Autorzy: Jinsong Ni
• Języki publikacji: EN

Abstrakty

EN

We will give a condition characterizing spaces X with SNT(X) = {[X]} which generalizes the corresponding result of McGibbon and Moller [8] for rational H-spaces.

Słowa kluczowe

EN

Formal space; Hyperformal space; Mittag-Leffler tower; Posnikov section

Kategorie tematyczne

• 55P15: Classification of homotopy type
• 55P62: Rational homotopy theory

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2009
• Tom: 7
• Numer: 2
• Strony: 224-229

Daty

wydano

2009-06-01

online

2009-05-24

Twórcy

autor

Jinsong Ni

• Department of Mathematics, Suzhou University, Suzhou, China

Bibliografia

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• [7] Jinsong N., Natural mapping on groups of selfhomotopic equivalence of hyperformal spaces have finiteness, Journal of Suzhou University (natural science edition), 2005, 21 (in Chinese)
• [8] McGibbon C.A., Møller J.M., On spaces with the same n-type for all n, Topology, 1992, 31, 177–201 http://dx.doi.org/10.1016/0040-9383(92)90069-T[Crossref]
• [9] Smith S.B., Rational homotopy of the space of self-maps of complexes with finitely many homotopy groups, Trans. Amer. Math. Soc., 1994, 342, 895–915 http://dx.doi.org/10.2307/2154658[Crossref]
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Identyfikatory

DOI

10.2478/s11533-009-0005-8