-homotopy and refinement of observation. II: Adding new -homotopy equivalences.
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Gaucher, Philippe (2007)
International Journal of Mathematics and Mathematical Sciences
Artur Pruszko (1999)
Banach Center Publications
Topological spaces with generalized symmetries are defined and extensions of the Conley index of a compact isolated invariant set of the flow preserving the structures introduced are proposed. One of the two new indexes is constructed with no additional assumption on the examined set in terms of symmetry invariance.
Yves Felix, Jean-Claude Thomas (1988)
Mathematische Zeitschrift
Andrica, Dorin, Pintea, Cornel (2002)
Balkan Journal of Geometry and its Applications (BJGA)
Jeff Strom (2008)
Fundamenta Mathematicae
The suspension and loop space functors, Σ and Ω, operate on the lattice of Bousfield classes of (sufficiently highly connected) topological spaces, and therefore generate a submonoid ℒ of the complete set of operations on the Bousfield lattice. We determine the structure of ℒ in terms of a single parameter of homotopy theory which is closely tied to the problem of desuspending weak cellular inequalities.
C. Watkiss (1976)
Publications du Département de mathématiques (Lyon)
Grandis, Marco (2005)
Theory and Applications of Categories [electronic only]
David Edwards, Patricia Tulley McAuley (1977)
Fundamenta Mathematicae
Douglas C. Ravenel (1976)
Inventiones mathematicae
Noson S. Yanofsky (2000)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
Maria Moszyńska (1973)
Fundamenta Mathematicae
Sibe Mardešić (2013)
Bulletin of the Polish Academy of Sciences. Mathematics
A phantom mapping h from a space Z to a space Y is a mapping whose restrictions to compact subsets are homotopic to constant mappings. If the mapping h is not homotopic to a constant mapping, one speaks of an essential phantom mapping. The definition of (essential) phantom pairs of mappings is analogous. In the study of phantom mappings (phantom pairs of mappings), of primary interest is the case when Z and Y are CW-complexes. In a previous paper it was shown that there are no essential phantom...
Gaucher, Philippe (2006)
The New York Journal of Mathematics [electronic only]
Gaucher, Philippe (2006)
The New York Journal of Mathematics [electronic only]
C. Cox (1973)
Fundamenta Mathematicae
Tsoy-Wo Ma (1972)
Mahowald, Mark (1998)
Documenta Mathematica
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