A SEIFERT-VAN KAMPEN THEOREM IN NON-ABELIAN ALGEBRA

被引：1

作者：

Duckerts-Antoine, Mathieu ^{[1
]}

Van Der Linden, Tim ^{[2
]}

机构：

[1] Univ Coimbra, Dept Matemat, Apartado 3008, P-3001501 Coimbra, Portugal

[2] Catholic Univ Louvain, Inst Rech Math & Phys, Chemin Cyclotron 2 Bte L7-01-02, B-1348 Louvain La Neuve, Belgium

来源：

HOMOLOGY HOMOTOPY AND APPLICATIONS | 2018年 / 20卷 / 02期

关键词：

derived functor; fundamental group; homology coproduct theorem; categorical Galois theory; algebraically coherent semi-abelian category; GALOIS THEORY; HOPF FORMULAS; HOMOLOGY; CATEGORIES; FACTORIZATION; EXTENSIONS; FIBRATION; HOMOTOPY;

D O I：

10.4310/HHA.2018.v20.n2.a5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a variation on the Seifert-van Kampen theorem in a setting of non-abelian categorical algebra, providing sufficient conditions on a functor F, from an algebraically coherent semi-abelian category with enough projectives to an almost abelian (= Raikov semiabelian) category, for the preservation of pushouts of split monomorphisms by the left derived functor of F.

引用

页码：79 / 103

页数：25

共 50 条

[21] Gauging the nonlinear a model through a non-Abelian algebra
Barcelos-Neto, J.
Oliveira, W.
Physical Review D Particles, Fields, Gravitation and Cosmology, 56 (04):
[22] SOME PROBLEMS IN NON-ABELIAN HOMOTOPICAL AND HOMOLOGICAL ALGEBRA
BROWN, R
LECTURE NOTES IN MATHEMATICS, 1990, 1418 : 105 - 129
[23] VAN-KAMPEN THEOREM IN SHAPE THEORY
KADLOF, A
BULLETIN DE L ACADEMIE POLONAISE DES SCIENCES-SERIE DES SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1977, 25 (04): : 395 - 400
[24] NON-ABELIAN VORTICES AND NON-ABELIAN STATISTICS
LO, HK
PRESKILL, J
PHYSICAL REVIEW D, 1993, 48 (10) : 4821 - 4834
[25] Non-Abelian stokes theorem and computation of Wilson loop
Chen, Y
He, B
Wu, JM
MODERN PHYSICS LETTERS A, 2000, 15 (17) : 1127 - 1135
[26] Non-abelian generalizations of the Erdos-Kac theorem
Murty, MR
Saidak, F
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2004, 56 (02): : 356 - 372
[27] On the non-Abelian Stokes theorem in SU(2) gluodynamics
Gubarev, FV
NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2004, 129 : 692 - 694
[28] A van Kampen theorem for equivariant fundamental groupoids
Bullejos, Manuel
Scull, Laura
JOURNAL OF PURE AND APPLIED ALGEBRA, 2008, 212 (09) : 2059 - 2068
[29] The Livsic periodic point theorem for non-abelian cocycles
Parry, W
ERGODIC THEORY AND DYNAMICAL SYSTEMS, 1999, 19 : 687 - 701
[30] The non-Abelian exponentiation theorem for multiple Wilson lines
Gardi, Einan
Smillie, Jennifer M.
White, Chris D.
JOURNAL OF HIGH ENERGY PHYSICS, 2013, (06):

← 1 2 3 4 5 →