Open AccessJournal Article
Transformation of Groups
TLDR
In this article, the authors proved Sylvester's law of nullity and exercise, which states that the nullity of the product BA never exceeds the sum of the nullities of the factor and is never less than the nullness of A.Abstract:
In this work, we have proved a number of purely geometric statements by algebraic methods. Also we have proved Sylvester’s law of Nullity and Exercise: the nullity of the product BA never exceeds the sum of the nullities of the factor and is never less than the nullity of A. Keywords: Transformation of Groups, Nullity, Kernel, Image, Non-Singular, Symmetry Group, Shear, Compression, Elongation Reflection Journal of the Nigerian Association of Mathematical Physics , Volume 20 (March, 2012), pp 27 – 30read more
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Nilpotence and descent in equivariant stable homotopy theory
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New combinatorial topology bounds for renaming: The upper bound
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Eliminating Tverberg Points, I. An Analogue of the Whitney Trick
Isaac Mabillard,Uli Wagner +1 more
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References
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Journal ArticleDOI
Multiple solutions to a magnetic nonlinear Choquard equation
TL;DR: In this article, the stationary nonlinear magnetic Choquard equation is considered and the existence of multiple complex valued solutions to this equation is established, assuming that both vector potentials A and scalar potential V are compatible with the action of a group G of linear isometries.
Journal ArticleDOI
Nilpotence and descent in equivariant stable homotopy theory
TL;DR: In this article, the authors introduce a class of G-equivariant spectra called F -nilpotent, which is defined as the class of spectra that are complete, torsion, complete, and nilpotent objects in a symmetric monoidal stable ∞-category.
Journal ArticleDOI
New combinatorial topology bounds for renaming: The upper bound
TL;DR: The main theorem states that there exists a wait-free renaming protocol for K < 2n, if and only if
Book
Global Homotopy Theory
TL;DR: In this article, the authors introduce graduate students and researchers to global equivariant homotopy theory based on the new notion of global equivalences for orthogonal spectra, a much finer notion of equivalence than is traditionally considered.
Proceedings ArticleDOI
Eliminating Tverberg Points, I. An Analogue of the Whitney Trick
Isaac Mabillard,Uli Wagner +1 more
TL;DR: This work considers multiple (double, triple, and higher multiplicity) self-intersection points of maps from finite simplicial complexes (compact polyhedra) into Rd, and study conditions under which such multiple points can be eliminated.