Change of universe functors in equivariant stable homotopy theory
L. Lewis Jr. (1995)
Fundamenta Mathematicae
Similarity:
Displaying similar documents to “Rational Hopf G-spaces with two nontrivial homotopy group systems”
Change of universe functors in equivariant stable homotopy theory
On the homotopy category of Moore spaces and the cohomology of the category of abelian groups
Hans-Joachim Baues, Manfred Hartl (1996)
Fundamenta Mathematicae
Similarity:
The homotopy category of Moore spaces in degree 2 represents a nontrivial cohomology class in the cohomology of the category of abelian groups. We describe various properties of this class. We use James-Hopf invariants to obtain explicitly the image category under the functor chain complex of the loop space.
Loop spaces and homotopy operations
David Blanc (1997)
Fundamenta Mathematicae
Similarity:
We describe an obstruction theory for an H-space X to be a loop space, in terms of higher homotopy operations taking values in . These depend on first algebraically “delooping” the Π-algebras , using the H-space structure on X, and then trying to realize the delooped Π-algebra.
Classification of function spaces with the pointwise topology determined by a countable dense set
Tadeusz Dobrowolski, Witold Marciszewski (1995)
Fundamenta Mathematicae
Similarity:
Does C* -embedding imply C*-embedding in the realm of products with a non-discrete metric factor?
Valentin Gutev, Haruto Ohta (2000)
Fundamenta Mathematicae
Similarity:
The above question was raised by Teodor Przymusiński in May, 1983, in an unpublished manuscript of his. Later on, it was recognized by Takao Hoshina as a question that is of fundamental importance in the theory of rectangular normality. The present paper provides a complete affirmative solution. The technique developed for the purpose allows one to answer also another question of Przymusiński's.
A special case of Vinogradov's mean value theorem
R. C. Vaughan, T. D. Wooley (1997)
Acta Arithmetica
Similarity:
Continuous Alexander–Spanier cohomology classifies principal bundles with Abelian structure group
Bernd Günther, L. Mdzinarishvili (1997)
Fundamenta Mathematicae
Similarity:
We prove that Alexander-Spanier cohomology with coefficients in a topologicalAbelian group G is isomorphic to the group of isomorphism classes of principal bundles with certain Abelian structure groups. The result holds if either X is a CW-space and G arbitrary or if X is metrizable or compact Hausdorff and G an ANR.