Long Exact Sequences and the Transgression Relation
نویسندگان
چکیده
منابع مشابه
transformation semigroups and exact sequences
this text carries out some ideas about exact and p− exact sequences of transformationsemigroups. some theorems like the short five lemma (lemma 1.3 and lemma 2.3) are valid here as inexact sequences of r − modules.
متن کاملExact sequences of extended $d$-homology
In this article, we show the existence of certain exact sequences with respect to two homology theories, called d-homology and extended d-homology. We present sufficient conditions for the existence of long exact extended d- homology sequence. Also we give some illustrative examples.
متن کاملThe Category of Long Exact Sequences and the Homotopy Exact Sequence of Modules
The relative homotopy theory of modules, including the (module) homotopy exact sequence, was developed by Peter Hilton (1965). Our thrust is to produce an alternative proof of the existence of the injective homotopy exact sequence with no reference to elements of sets, so that one can define the necessary homotopy concepts in arbitrary abelian categories with enough injectives and projectives, ...
متن کاملREES SHORT EXACT SEQUENCES OF S-POSETS
In this paper the notion of Rees short exact sequence for S-posets is introduced, and we investigate the conditions for which these sequences are left or right split. Unlike the case for S-acts, being right split does not imply left split. Furthermore, we present equivalent conditions of a right S-poset P for the functor Hom(P;-) to be exact.
متن کاملArrows and Exact Sequences
The above is a plaisanterie by Henri Cartan (1952 in an Oberwolfach meeting). It was not meant seriously; most mathematicians agree that number theory is the queen of mathematics. But it shows that, at that time, many people working in topology, algebra and related fields were greatly impressed by the impact and power of that simple quite new idea; it was able to facilitate arguments and intuit...
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: Nagoya Mathematical Journal
سال: 1973
ISSN: 0027-7630,2152-6842
DOI: 10.1017/s0027763000015282