메뉴 건너뛰기




Volumn 12, Issue 1, 2004, Pages 63-80

Galois Theory and a New Homotopy Double Groupoid of a Map of Spaces

Author keywords

Double groupoids; Galois groupoids; Homotopy groupoids

Indexed keywords

MATHEMATICAL MODELS; SET THEORY; THEOREM PROVING; TOPOLOGY;

EID: 1342303392     PISSN: 09272852     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:APCS.0000013811.15727.1a     Document Type: Article
Times cited : (15)

References (23)
  • 1
    • 0036749184 scopus 로고    scopus 로고
    • Multiple categories: The equivalence between a globular and cubical approach
    • Al-Agl, F. A., Brown, R. and Steiner, R.: Multiple categories: The equivalence between a globular and cubical approach, Adv. Math. 170 (2002), 71-118.
    • (2002) Adv. Math. , vol.170 , pp. 71-118
    • Al-Agl, F.A.1    Brown, R.2    Steiner, R.3
  • 2
    • 0013271510 scopus 로고    scopus 로고
    • Cambridge Studies in Advanced Mathematics 72, Cambridge University Press
    • Borceux, F. and Janelidze, G.: Galois Theories, Cambridge Studies in Advanced Mathematics 72, Cambridge University Press, 2001.
    • (2001) Galois Theories
    • Borceux, F.1    Janelidze, G.2
  • 3
    • 0002766408 scopus 로고    scopus 로고
    • Groupoids and crossed objects in algebraic topology
    • Brown, R.: Groupoids and crossed objects in algebraic topology, Homotopy, Homology Appl. 1 (1999), 1-78.
    • (1999) Homotopy, Homology Appl. , vol.1 , pp. 1-78
    • Brown, R.1
  • 4
    • 84959748671 scopus 로고
    • On the connection between the second relative homotopy groups of some related spaces
    • Brown, R. and Higgins, P. J.: On the connection between the second relative homotopy groups of some related spaces, Proc. London Math. Soc. (3) 36 (1978), 193-211.
    • (1978) Proc. London Math. Soc. (3) , vol.36 , pp. 193-211
    • Brown, R.1    Higgins, P.J.2
  • 6
    • 0001897227 scopus 로고
    • Colimit theorems for relative homotopy groups
    • Brown, R. and Higgins, P. J.: Colimit theorems for relative homotopy groups, J. Pure Appl. Algebra 22 (1981), 11-41.
    • (1981) J. Pure Appl. Algebra , vol.22 , pp. 11-41
    • Brown, R.1    Higgins, P.J.2
  • 8
    • 0031558122 scopus 로고    scopus 로고
    • Van Kampen theorems for categories of covering morphisms in lextensive categories
    • Brown, R. and Janelidze, G.: Van Kampen theorems for categories of covering morphisms in lextensive categories, J. Pure Appl. Algebra 119 (1997), 255-263.
    • (1997) J. Pure Appl. Algebra , vol.119 , pp. 255-263
    • Brown, R.1    Janelidze, G.2
  • 9
    • 0033521766 scopus 로고    scopus 로고
    • Galois theory of second order covering maps of simplicial sets
    • Brown, R. and Janelidze, G.: Galois theory of second order covering maps of simplicial sets, J. Pure Appl. Algebra 135 (1999), 83-91.
    • (1999) J. Pure Appl. Algebra , vol.135 , pp. 83-91
    • Brown, R.1    Janelidze, G.2
  • 10
    • 0001301955 scopus 로고
    • Van Kampen theorems for diagrams of spaces
    • Brown, R. and Loday, J.-L.: Van Kampen theorems for diagrams of spaces, Topology 26 (1987), 311-334.
    • (1987) Topology , vol.26 , pp. 311-334
    • Brown, R.1    Loday, J.-L.2
  • 11
    • 38249009099 scopus 로고
    • Determination of a double Lie groupoid by its core diagram
    • Brown, R. and Mackenzie, K. C. H.: Determination of a double Lie groupoid by its core diagram, J. Pure Appl. Algebra 80 (1992), 237-271.
    • (1992) J. Pure Appl. Algebra , vol.80 , pp. 237-271
    • Brown, R.1    Mackenzie, K.C.H.2
  • 13
    • 0008119069 scopus 로고
    • General associativity and general composition for double categories
    • Dawson, R. and Paré, R.: General associativity and general composition for double categories, Cahiers Topologie Géom. Différentielle Catég. 34 (1993), 57-79.
    • (1993) Cahiers Topologie Géom. Différentielle Catég , vol.34 , pp. 57-79
    • Dawson, R.1    Paré, R.2
  • 14
    • 1342319200 scopus 로고
    • Catégories structurées III: Quintettes et applications covariantes
    • Ehresmann, C.: Catégories structurées III: Quintettes et applications covariantes, Cahiers Topologie Géom. Différentielle Catég. 5 (1963), 1-22.
    • (1963) Cahiers Topologie Géom. Différentielle Catég , vol.5 , pp. 1-22
    • Ehresmann, C.1
  • 16
    • 0001757320 scopus 로고
    • Galois Precategories theory
    • Springer
    • Janelidze, G.: Precategories and Galois theory, in Lecture Notes in Mathematics 1488, Springer, 1991, pp. 157-173.
    • (1991) Lecture Notes in Mathematics , vol.1488 , pp. 157-173
    • Janelidze, G.1
  • 17
    • 0001258280 scopus 로고
    • Pure Galois theory in categories
    • Janelidze, G.: Pure Galois theory in categories, J. Algebra 132 (1990), 270-286.
    • (1990) J. Algebra , vol.132 , pp. 270-286
    • Janelidze, G.1
  • 18
    • 0008069978 scopus 로고    scopus 로고
    • A homotopy 2-groupoid from a fibration
    • Kamps, K. H. and Porter, T.: A homotopy 2-groupoid from a fibration, Homotopy, Homology Appl. 1 (1999), 79-93.
    • (1999) Homotopy, Homology Appl. , vol.1 , pp. 79-93
    • Kamps, K.H.1    Porter, T.2
  • 19
    • 0001524535 scopus 로고
    • Spaces with finitely many homotopy groups
    • Loday, J.-L.: Spaces with finitely many homotopy groups, J. Pure Appl. Algebra 24 (1982), 179-201.
    • (1982) J. Pure Appl. Algebra , vol.24 , pp. 179-201
    • Loday, J.-L.1
  • 20
    • 0037174517 scopus 로고    scopus 로고
    • Holonomy and parallel transport for abelian gerbes
    • Mackaay, M. and Picken, R.: Holonomy and parallel transport for abelian gerbes, Adv. Math. 170 (2002), 287-339.
    • (2002) Adv. Math. , vol.170 , pp. 287-339
    • Mackaay, M.1    Picken, R.2
  • 21
    • 0000626516 scopus 로고
    • Algebraic classification of equivariant 2-types
    • Moerdijk, I. and Svensson, J.-A.: Algebraic classification of equivariant 2-types, J. Pure Appl. Algebra 89 (1993), 187-216.
    • (1993) J. Pure Appl. Algebra , vol.89 , pp. 187-216
    • Moerdijk, I.1    Svensson, J.-A.2
  • 22
    • 0004135866 scopus 로고
    • Lecture Notes in Mathematics 43, Springer, Berlin
    • Quillen, D.: Homotopical Algebra, Lecture Notes in Mathematics 43, Springer, Berlin, 1967.
    • (1967) Homotopical Algebra
    • Quillen, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.