Mixed resolutions and simplicial sections
نویسندگان
چکیده
منابع مشابه
Simplicial Resolutions and Ganea Fibrations
In this work, we compare the two approximations of a pathconnected space X, by the Ganea spaces Gn(X) and by the realizations ‖Λ•X‖n of the truncated simplicial resolutions emerging from the loop-suspension cotriple ΣΩ. For a simply connected space X, we construct maps ‖Λ•X‖n−1 → Gn(X) → ‖Λ•X‖n over X, up to homotopy. In the case n = 2, we prove the existence of a map G2(X) → ‖Λ•X‖1 over X (up ...
متن کاملA Comparison Theorem for Simplicial Resolutions
It is well known that Barr and Beck’s definition of comonadic homology makes sense also with a functor of coefficients taking values in a semi-abelian category instead of an abelian one. The question arises whether such a homology theory has the same convenient properties as in the abelian case. Here we focus on independence of the chosen comonad: conditions for homology to depend on the induce...
متن کاملOn Simplicial Resolutions of Framed Links
In this paper, we investigate the simplicial groups obtained from the link groups of naive cablings on any given framed link. Our main result states that the resulting simplicial groups have the homotopy type of the loop space of a wedge of 3-spheres. This gives simplicial group models for some loop spaces using link groups.
متن کاملPROPERNESS AND SIMPLICIAL RESOLUTIONS FOR THE MODEL CATEGORY dgCat
We give an elementary proof that the model category of dg-categories over a ring of flat dimension 0 is left proper and we provide a construction of simplicial resolutions in dg-categories, given by categories of Maurer-Cartan elements.
متن کاملFinite Free Resolutions and 1-Skeletons of Simplicial Complexes
A technique of minimal free resolutions of Stanley–Reisner rings enables us to show the following two results: (1) The 1-skeleton of a simplicial (d − 1)-sphere is d-connected, which was first proved by Barnette; (2) The comparability graph of a non-planar distributive lattice of rank d − 1 is d-connected.
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: Israel Journal of Mathematics
سال: 2007
ISSN: 0021-2172,1565-8511
DOI: 10.1007/s11856-007-0085-8