Academic Journal

The snail lemma

التفاصيل البيبلوغرافية
العنوان: The snail lemma
المؤلفون: Vitale, Enrico
المساهمون: UCL - SST/IRMP - Institut de recherche en mathématique et physique
المصدر: Theory and Applications of Categories, Vol. 31, no.19, p. 484-501 (2016)
بيانات النشر: Mount Allison University
سنة النشر: 2016
المجموعة: DIAL@USL-B (Université Saint-Louis, Bruxelles)
مصطلحات موضوعية: snail lemma, snake lemma, protomodular category, strong homotopy kernel
الوصف: The classical snake lemma produces a six terms exact sequence starting from a commutative square with one of the edge being a regular epimorphism. We establish a new diagram lemma, that we call snail lemma, removing such a condition. We also show that the snail lemma subsumes the snake lemma and we give an interpretation of the snail lemma in terms of strong homotopy kernels. Our results hold in any pointed regular protomodular category.
نوع الوثيقة: article in journal/newspaper
اللغة: English
تدمد: 1201-561X
Relation: boreal:175049; http://hdl.handle.net/2078.1/175049; urn:ISSN:1201-561X; urn:EISSN:1201-561X
الاتاحة: http://hdl.handle.net/2078.1/175049
Rights: info:eu-repo/semantics/openAccess
رقم الانضمام: edsbas.51E64932
قاعدة البيانات: BASE