Cores of spaces, spectra, and ring spectra.
Hu, P., Kriz, I., May, J.P. (2001)
Homology, Homotopy and Applications
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Hu, P., Kriz, I., May, J.P. (2001)
Homology, Homotopy and Applications
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Hovey, Mark (2004)
Homology, Homotopy and Applications
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Klein, John R. (2003)
Homology, Homotopy and Applications
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Dominique Arlettaz (2004)
Open Mathematics
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This paper provides universal upper bounds for the exponent of the kernel and of the cokernel of the classical Boardman homomorphism b n: π n(X)→H n(H;ℤ), from the cohomotopy groups to the ordinary integral cohomology groups of a spectrum X, and of its various generalizations π n(X)→E n(X), F n(X)→(E∧F)n(X), F n(X)→H n(X;π 0 F) and F n(X)→H n+t(X;π t F) for other cohomology theories E *(−) and F *(−). These upper bounds do not depend on X and are given in terms of the exponents of the...
J. Fathi, R. Lashkaripour (2013)
Matematički Vesnik
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Sinha, Dev P. (2001)
Homology, Homotopy and Applications
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Carlsson, Gunnar (2001)
Homology, Homotopy and Applications
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Katsuya Eda, Kazuhiro Kawamura (2000)
Fundamenta Mathematicae
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For the n-dimensional Hawaiian earring n ≥ 2, and is trivial for each 1 ≤ i ≤ n - 1. Let CX be the cone over a space X and CX ∨ CY be the one-point union with two points of the base spaces X and Y being identified to a point. Then for n ≥ 1.
Bernd Günther (1992)
Fundamenta Mathematicae
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We show that the Vietoris system of a space is isomorphic to a strong expansion of that space in the Steenrod homotopy category, and from this we derive a simple description of strong homology. It is proved that in ZFC strong homology does not have compact supports, and that enforcing compact supports by taking limits leads to a homology functor that does not factor over the strong shape category. For compact Hausdorff spaces strong homology is proved to be isomorphic to Massey's homology. ...
Kharebava, Z. (2002)
Georgian Mathematical Journal
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Ebeling, Paul, Keune, Frans (2002)
Georgian Mathematical Journal
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Dupont, Nicolas, Hess, Kathryn (2002)
Homology, Homotopy and Applications
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Gutiérrez, Javier J. (2005)
Homology, Homotopy and Applications
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