Results 71 to 80 of about 59,724 (184)
The ∞$\infty$‐categorical reflection theorem and applications
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract We prove an ∞$\infty$‐categorical version of the reflection theorem of AdÁmek and Rosický [Arch. Math. 25 (1989), no. 1, 89–94]. Namely, that a full subcategory of a presentable ∞$\infty$‐category that is closed under limits and κ$\kappa$‐filtered colimits is a presentable ∞$\infty$‐category.
Shaul Ragimov, Tomer M. Schlank
wiley +1 more source
Homotopy groups of ascending unions of infinite-dimensional manifolds [PDF]
, 2010 Let M be a topological manifold modelled on topological vector spaces, which is the union of an ascending sequence of such manifolds M_n. We formulate a mild condition ensuring that the k-th homotopy group of M is the direct limit of the k-th homotopy ...
Glockner, Helge
core
Obstructions to homotopy invariance of loop coproduct via parameterized fixed‐point theory
Journal of Topology, Volume 19, Issue 1, March 2026.Abstract Given f:M→N$f:M \rightarrow N$ a homotopy equivalence of compact manifolds with boundary, we use a construction of Geoghegan and Nicas to define its Reidemeister trace [T]∈π1st(LN,N)$[T] \in \pi _1^{st}(\mathcal {L}N, N)$. We realize the Goresky–Hingston coproduct as a map of spectra, and show that the failure of f$f$ to entwine the spectral ...
Lea Kenigsberg, Noah Porcelli
wiley +1 more source
Homotopy groups of compact Abelian groups [PDF]
Proceedings of the American Mathematical Society, 1964 Preliminaries. Bn (resp. Sn_1) will denote the subset of Rn consisting of those x such that IIx|| < 1 (resp. ||x|I = 1). xo will denote the point (1, 0, 0, * , 0) of Rn and T will denote S1 made into a topological group by using complex multiplication. All groups will be assumed to be Abelian.
openaire +2 more sources
The cosymplectic Chern–Hamilton conjecture
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract In this paper, we study the Chern–Hamilton energy functional on compact cosymplectic manifolds, fully classifying in dimension 3 those manifolds admitting a critical compatible metric for this functional. This is the case if and only if either the manifold is co‐Kähler or if it is a mapping torus of the 2‐torus by a hyperbolic toral ...
Søren Dyhr +3 more
wiley +1 more source
On topological shape homotopy groups
Topology and its Applications, 2016 18 pages,this is a major revision of the first ...
Nasri, Tayyebe +3 more
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Results in Physics, 2019 The solution of neutron diffusion equation is important to describe the behavior of the neutrons in the nuclear reactors. The essential cylindrical reactor geometry will be studied in this work, where the reactor reflector part is added to the core part ...
Mohammed Shqair
doaj +1 more source
Two Types of Non‐Abelian Topological Phase Transitions Under Duality Mapping in 1D Photonic Chains
Advanced Science, Volume 13, Issue 2, 9 January 2026.In this work, two types of non‐Abelian phase transitions are revealed. The first type is the braided‐node type, signified by the Dirac degeneracy node moving into or out of the unit circle. The second type corresponds to the emerging of nodal‐line degeneracy which intersects with unit circles.
Yufu Liu +6 more
wiley +1 more source
Paradoxical Topological Soliton Lattice in Anisotropic Frustrated Chiral Magnets
Advanced Science, Volume 13, Issue 5, 27 January 2026.The article describes the discovery of a stable skyrmion‐antiskyrmion lattice (S‐AL) in anisotropic frustrated chiral magnets. This lattice has a net‐zero topological charge due to a balanced population of skyrmions and antiskyrmions. This is a paradoxical finding since these particles normally annihilate each other.
Sayan Banik +2 more
wiley +1 more source
Codimension 2 fibrators that are closed under finite product
International Journal of Mathematics and Mathematical Sciences, 1998 In this paper, we show that if Nm is a closed manifold with hyperhopfian fundamental group, πi(N)=0 for ...
Young Ho Im, Mee Kwang Kang, Ki Mun Woo
doaj +1 more source