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Volumn 5, Issue 1, 2003, Pages 49-52

Cubical abelian groups with connections are equivalent to chain complexes

Author keywords

Abelian group objects; Chain complexes; Crossed complexes; Cubical sets with connections; Globular and cubical categories

Indexed keywords


EID: 18544371474     PISSN: 15320073     EISSN: 15320081     Source Type: Journal    
DOI: 10.4310/HHA.2003.v5.n1.a2     Document Type: Article
Times cited : (13)

References (8)
  • 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', Advances in Mathematics 170 (2002) 71-118.
    • (2002) Advances in Mathematics , vol.170 , pp. 71-118
    • Al-Agl, F.A.1    Brown, R.2    Steiner, R.3
  • 2
    • 38249018037 scopus 로고
    • Another denormalization theorem for the abelian chain complexes
    • BOURN, D., 'Another denormalization theorem for the abelian chain complexes', J. Pure Appl. Algebra 66 (1990) 229-249.
    • (1990) J. Pure Appl. Algebra , vol.66 , pp. 229-249
    • Bourn, D.1
  • 3
    • 0001531769 scopus 로고
    • The equivalence of ∞-groupoids and crossed complexes
    • BROWN, R. AND HIGGINS, P.J., 'The equivalence of ∞-groupoids and crossed complexes', Cah. Top. Géom. Diff. 22 (1981) 371-386.
    • (1981) Cah. Top. Géom. Diff. , vol.22 , pp. 371-386
    • Brown, R.1    Higgins, P.J.2
  • 6
    • 18544379054 scopus 로고
    • Catégories cofibrées additives et complexe cotangent relatif
    • Springer-Verlag, Berlin, 167pp.
    • GROTHENDIECK, A., 'Catégories cofibrées additives et complexe cotangent relatif', Springer Lecture Notes in Math. 79 (1968) Springer-Verlag, Berlin, 167pp.
    • (1968) Springer Lecture Notes in Math. , vol.79
    • Grothendieck, A.1
  • 7
    • 0001524535 scopus 로고
    • Spaces with finitely many non-trivial homotopy groups
    • LODAY, J.-L., 'Spaces with finitely many non-trivial homotopy groups', J. Pure Appl. Algebra 24 (1982) 179-202.
    • (1982) J. Pure Appl. Algebra , vol.24 , pp. 179-202
    • Loday, J.-L.1
  • 8
    • 0011365220 scopus 로고
    • Cubical groups which are Kan
    • TONKS, A.P., 'Cubical groups which are Kan', J. Pure Appl. Algebra 81 (1992) 83-87.
    • (1992) J. Pure Appl. Algebra , vol.81 , pp. 83-87
    • Tonks, A.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.