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

Jinsong Ni

Open Mathematics (2009)

  • Volume: 7, Issue: 2, page 224-229
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Jinsong Ni. "A criterion of SNT(X) = {[X]} for hyperformal spaces." Open Mathematics 7.2 (2009): 224-229. <http://eudml.org/doc/268983>.

@article{JinsongNi2009,
abstract = {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.},
author = {Jinsong Ni},
journal = {Open Mathematics},
keywords = {Formal space; Hyperformal space; Mittag-Leffler tower; Posnikov section; formal space; hyperformal space; Postnikov section; same -type},
language = {eng},
number = {2},
pages = {224-229},
title = {A criterion of SNT(X) = \{[X]\} for hyperformal spaces},
url = {http://eudml.org/doc/268983},
volume = {7},
year = {2009},
}

TY - JOUR
AU - Jinsong Ni
TI - A criterion of SNT(X) = {[X]} for hyperformal spaces
JO - Open Mathematics
PY - 2009
VL - 7
IS - 2
SP - 224
EP - 229
AB - 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.
LA - eng
KW - Formal space; Hyperformal space; Mittag-Leffler tower; Posnikov section; formal space; hyperformal space; Postnikov section; same -type
UR - http://eudml.org/doc/268983
ER -

References

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  7. [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. [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] Zbl0765.55010
  9. [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] Zbl0802.55009
  10. [10] Smith S.B., Postnikov sections of formal and hyperformal spaces, Proc. Amer. Math. Soc., 1994, 122, 893–903 http://dx.doi.org/10.2307/2160769[Crossref] Zbl0826.55006
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  12. [12] Wilkerson C., Applications of minimal simplicial groups, Topology, 1976, 15, 111–130 http://dx.doi.org/10.1016/0040-9383(76)90001-X[Crossref] 

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