Results 11 to 20 of about 87,568 (329)
Phantom maps and rational homotopy [PDF]
, 2021 We generalize theorems of McGibbon-Roitberg, Iriye, and Meier on the relations between phantom maps and rational homotopy, and apply them to provide new calculational examples of the homotopy sets Ph(X, Y ) of phantom maps and the subsets SPh(X, Y ) of special phantom maps.
Hiroshi Kihara
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Phantom maps and injectivity of forgetful maps [PDF]
Journal of the Mathematical Society of Japan, 2002 Let \(P\) be the total space of a principal \(G\)-bundle, and assume that \(P\) has the homotopy type of a simply connected finite CW complex. The associated forgetful map \(F\) is the natural homomorphism from the group of homotopy classes of equivariant self-equivalences of \(P\) to the group of homotopy classes of all self-equivalences.
Jianzhong Pan, Moo Ha Woo
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Phantom maps and fibrations [PDF]
, 2020 Given pointed $CW$-complexes $X$ and $Y$, $\rmph(X, Y)$ denotes the set of homotopy classes of phantom maps from $X$ to $Y$ and $\rmsph(X, Y)$ denotes the subset of $\rmph(X, Y)$ consisting of homotopy classes of special phantom maps. In a preceding paper, we gave a sufficient condition such that $\rmph(X, Y)$ and $\rmsph(X, Y)$ have natural group ...
Hiroshi Kihara
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Phantom Maps and Finiteness Conditions [PDF]
, 2015 Updated with ...
James Schwass
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Relative phantom maps and rational homotopy [PDF]
Proceedings of the American Mathematical Society, 2020 We generalize some results of Gray and McGibbon-Roitberg on relations between phantom maps and rational homotopy to relative phantom maps. Since the l i m ⟵ 1 \underset {\longleftarrow }{\mathrm {lim}}^{1} and the profinite completion ...
Daisuke Kishimoto, Takahiro Matsushita
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Phantom maps and homology theories [PDF]
Topology, 1998 25 pages, AMSLaTeX, to appear in ...
J. Daniel Christensen, Neil Strickland
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, 2001 A successful generalization of phantom map theory to the equivariant case for all compact Lie groups is obtained in this paper. One of the key observations is the discovery of the fact that homotopy fiber of equivariant completion splits as product of equivariant Eilenberg-Maclane spaces which seems impossible at first sight by the example of ...
Jianzhong Pan
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Algebraic & Geometric Topology, 2019 19 pages. This is the final version.
Iriye, Kouyemon +2 more
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Inconsistencies in mapping current distribution in transcranial direct current stimulation
Frontiers in Neuroimaging, 2023 IntroductiontDCS is a non-invasive neuromodulation technique that has been widely studied both as a therapy for neuropsychiatric diseases and for cognitive enhancement.
Anita S. Jwa +2 more
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On the Gray index conjecture for phantom maps [PDF]
Topology and its Applications, 2009 We study the Gray index of phantom maps, which is a numerical invariant of phantom maps. It is conjectured that the only phantom map with infinite Gray index between finite-type spaces is the constant map. We disprove this conjecture by constructing a counter example.
Kouyemon Iriye
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