Results 81 to 90 of about 1,564 (187)

Pirashvili–Richter-type theorems for the reflexive and dihedral homology theories

Comptes Rendus. Mathématique
Reflexive homology and dihedral homology are the homology theories associated to the reflexive and dihedral crossed simplicial groups respectively. The former has recently been shown to capture interesting information about $C_2$-equivariant homotopy ...
Graves, Daniel
doaj   +1 more source

Pluripotential homotopy theory

Advances in Mathematics
We build free, bigraded bidifferential algebra models for the forms on a complex manifold, with respect to a strong notion of quasi-isomorphism and compatible with the conjugation symmetry. This answers a question of Sullivan. The resulting theory naturally accomodates higher operations involving double primitives.
openaire   +4 more sources

Transversal Homotopy Theory

Theory and Applications of Categories, 2010
29 pages, 13 ...
openaire   +3 more sources

Does Identity Make Sense? [PDF]

Manuscrito
In this paper we present novel conceptions of identity arising in and motivated by a recently emerged branch of mathematical logic, namely, Homotopy Type theory (HoTT).
Andrei Rodin
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Generic non-uniqueness of minimizing harmonic maps from a ball to a sphere

Comptes Rendus. Mathématique
In this note, we study non-uniqueness for minimizing harmonic maps from $B^3$ to $§^2$. We show that every boundary map can be modified to a boundary map that admits multiple minimizers of the Dirichlet energy by a small $W^{1,p}$-change for ...
Detaille, Antoine, Mazowiecka, Katarzyna
doaj   +1 more source

On the basics of neutrosophic homotopy theory [PDF]

Neutrosophic Sets and Systems
In this paper, we introduce and study the concept of neutrosophic homotopic functions using topological properties. Also, we obtain some properties of neutrosophic homotopic functions and concept of neutrosophic homotopy.
S. Jafari, N. Rajesh, Giorgio Nordo
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On the homotopy groups of spheres in homotopy type theory

CoRR, 2016
The goal of this thesis is to prove that $π_4(S^3) \simeq \mathbb{Z}/2\mathbb{Z}$ in homotopy type theory. In particular it is a constructive and purely homotopy-theoretic proof. We first recall the basic concepts of homotopy type theory, and we prove some well-known results about the homotopy groups of spheres: the computation of the homotopy groups ...
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Learning High-Dimensional Chaos Based on an Echo State Network with Homotopy Transformation

Mathematics
Learning high-dimensional chaos is a complex and challenging problem because of its initial value-sensitive dependence. Based on an echo state network (ESN), we introduce homotopy transformation in topological theory to learn high-dimensional chaos.
Shikun Wang, Fengjie Geng, Yuting Li, Hongjie Liu   +3 more
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A Note on Finite-to-Infinite Extensions and Homotopy Invariance of Digraph Brown Functors

Axioms
This paper develops extension theory for Brown functors in directed graph homotopy theory. We establish a systematic method for extending Brown functors from finite directed graphs to arbitrary directed graphs using inverse limits over finite subdigraphs.
Hsuan-Yi Liao, Byungdo Park
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Topological Interactions Between Homotopy and Dehn Twist Varieties

Mathematics
The topological Dehn twists have several applications in mathematical sciences as well as in physical sciences. The interplay between homotopy theory and Dehn twists exposes a rich set of properties.
Susmit Bagchi
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