On generalized configuration space and its homotopy groups
نویسندگان
چکیده
منابع مشابه
On braid groups and homotopy groups
The purpose of this article is to give an exposition of certain connections between the braid groups [1, 3] and classical homotopy groups which arises in joint work of Jon Berrick, Yan-Loi Wong and the authors [8, 2, 32]. These connections emerge through several other natural contexts such as Lie algebras attached to the descending central series of pure braid groups arising as Vassiliev invari...
متن کاملOn O-minimal Homotopy Groups
We work over an o-minimal expansion of a real closed field. The o-minimal homotopy groups of a definable set are defined naturally using definable continuous maps. We prove that any two semialgebraic maps which are definably homotopic are also semialgebraically homotopic. This result together with the study of semialgebraic homotopy done by H. Delfs and M. Knebusch allows us to develop an o-min...
متن کامل0 on [ L ] - Homotopy Groups
The paper is devoted to investigation of some properties of [L]-homotopy groups. It is proved, in particular, that for any finite CW -complex L, satisfying double inequality [S] < [L] ≤ [S], π [L] n (S) = Z. Here [L] denotes extension type of complex L and π [L] n (X) denotes n-th [L]-homotopy group of X .
متن کاملTHE HOMOTOPY GROUPS OF tmf AND OF ITS LOCALIZATIONS
(1) π∗(S) −→ π∗(tmf ) −→ MF∗ that we now describe. Both maps are surprisingly close to being isomorphisms (even though π∗(S) and MF∗ have nothing to do with each other). The first map (1) is the Hurewitz homomorphism: being a ring spectrum, tmf admits a unit map from the sphere spectrum S. This induces a map in homotopy π∗(S) → π∗(tmf ), which is an isomorphism on π0. The only torsion in π∗(tmf...
متن کاملHomotopy Perturbation Method for the Fisher’s Equation and Its Generalized
Abstract:More recently, Wazwaz [An analytic study of Fisher’s equation by using Adomian decomposition method, Appl. Math. Comput. 154 (2004) 609–620] employed the Adomian decomposition method (ADM) to obtain exact solutions to Fisher’s equation and to a nonlinear diffusion equation of the Fisher type. In this paper, He’s homotopy perturbation method is employed for these equations to overcome t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Knot Theory and Its Ramifications
سال: 2020
ISSN: 0218-2165,1793-6527
DOI: 10.1142/s0218216520430014