Results 131 to 140 of about 6,556,269 (259)

Unstable Periodic Homotopy Theory [PDF]

, 2023
In this thesis we study unstable vₕ-periodic homotopy theory, where h is a natural number; here ``unstable'' refers to the homotopy theory of topological spaces. The work consists of two parts.
Shi, Yuqing
core  

A Family of Complex Nilmanifolds with in finitely Many Real Homotopy Types

Complex Manifolds, 2018
We find a one-parameter family of non-isomorphic nilpotent Lie algebras ga, with a > [0,∞), of real dimension eight with (strongly non-nilpotent) complex structures.
Latorre Adela, Ugarte Luis, Villacampa Raquel   +2 more
doaj   +1 more source

Local homotopy theory

, 2015
This monograph on the homotopy theory of topologized diagrams of spaces and spectra gives an expert account of a subject at the foundation of motivic homotopy theory and the theory of topological modular forms in stable homotopy theory. Beginning with an
Jardine, John F
core   +1 more source

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
doaj   +1 more source

Homotopy equivalent spectral transformation and Morse theory

, 1995
this paper is to establish systematic treatment of a speech-spectrum transformation and to make the notion of " deformation of spectral-surface". For this purpose, we use the algebraic topological language mainly developed in Morse theory.
Yoshinao Shiraki, Morse Theory
core  

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
doaj   +1 more source

Closed simplicial model structures for exterior and proper homotopy theory [PDF]

, 2004
The notion of exterior space consists of a topological space together with a certain non-empty family of open subsets that is thought of as a 'system of open neighbourhoods at infinity' while an exterior map is a continuous map which is 'continuous at ...
Garcia-Calcines, null [0000-0002-8969-6694], Garcia-Pinillos, null, Hernandez-Paricio, null [0000-0003-4528-7781]   +2 more
core   +1 more source

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 ...
openaire   +2 more sources

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
doaj   +1 more source

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
doaj   +1 more source