Results 91 to 100 of about 6,556,269 (259)
Thurston norm for coherent right‐angled Artin groups via L2$L^2$‐invariants
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We define a new notion of splitting complexity for a group G$G$ along a non‐trivial integral character ϕ∈H1(G;Z)$\phi \in H^1(G; \mathbb {Z})$. If G$G$ is a one‐ended coherent right‐angled Artin group, we show that the splitting complexity along an epimorphism ϕ:G→Z$\phi \colon G \rightarrow \mathbb {Z}$ equals the L2$L^2$‐Euler characteristic
Monika Kudlinska
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Journal of Pure and Applied Algebra, 1999 Given a suitable pointed closed simplicial model category \({\mathcal C}\) and a cofibrant object \(A\) in \({\mathcal C}\), the author proves the existence of a new closed model category structure in \({\mathcal C}\) in which cofibrant objects are built by attaching ``\(A\)-cells''. Especially, if \({\mathcal C}\) is the category of pointed spaces the
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Spheres over fields, their entire rational maps and applications
Pracì Mìžnarodnogo Geometričnogo CentruThe paper summarizes some results on algebraic geometry presence in the homotopy theory. For the homotopy group πm(Sn), denote by πalgm(Sn) its subset of homotopy classes represented by ℝ-entire rational maps Sm→Sn of spheres.
Marek Golasinski
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Asia-Pacific Journal of Chemical Engineering, Volume 21, Issue 3, May/June 2026.ABSTRACT This paper presents a comprehensive numerical analysis of magnetohydrodynamic (MHD) Casson nanofluid movement over a permeable, linearly stretching sheet, integrating the contributions of non‐uniform heat generation or absorption and chemical interaction.
Manoj Kumar Sahoo +3 more
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A First Approximation to Homotopy Theory [PDF]
Proceedings of the National Academy of Sciences, 1953 Publisher Summary The suspension map, originally introduced by Freudenthal for the study of the homotopy groups of spheres, has proved to be important in general homotopy questions and it has been found that within the suspension range, the situation is simpler than in the general case.
Spanier, Edwin H., Whitehead, J. H. C.
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On the algebraic classification of K-local spectra [PDF]
, 2008 In 1996, Jens Franke proved the equivalence of certain triangulated categories possessing an Adams spectral sequence. One particular application of this theorem is that the K(p)-local stable homotopy category at an odd prime can be described as the ...
Roitzheim, C., Roitzheim, Constanze
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Norms in equivariant homotopy theory
Forum of Mathematics, SigmaWe show that the $\infty $ -category of normed algebras in genuine G-spectra, as introduced by Bachmann–Hoyois, is modeled by strictly commutative algebras in G-symmetric spectra for any finite group G.
Tobias Lenz +2 more
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A (Discrete) Homotopy Theory for Geometric Spaces
Journal of Mathematics, 2023 We define the concepts of homotopy and fundamental group for geometric spaces as a generalization of metric spaces, digital spaces, and graphs; then, we compare them with corresponding concepts in these spaces.
Asieh Pourhaghani, Hamid Torabi
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Metasurfaces and Metadevices for Topological Electromagnetic Waves
Advanced Physics Research, Volume 5, Issue 5, May 2026.Optical topologies refer to diverse topological localized structures made by diverse parameters of light fields, such as vortices, skyrmions, and hopfions. This article navigates a direction of metasurface‐based integrated devices for generation, manipulation and detection of novel topologies of light, which would be a rapidly growing interdisciplinary
Rensheng Xie +3 more
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Formalising Real Numbers in Homotopy Type Theory [PDF]
, 2017 International audienceCauchy reals can be defined as a quotient of Cauchy sequences of rationals. In this case, the limit of a Cauchy sequence of Cauchy reals is defined through lifting it to a sequence of Cauchy sequences of rationals.
Gilbert, Gaëtan, Gaëtan Gilbert
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