10 ENGLISH BOOKS RELATING TO «SIMPLICIALLY»
Discover the use of
simplicially in the following bibliographical selection. Books relating to
simplicially and brief extracts from same to provide context of its use in English literature.
A Banach algebra A is called simplicially amenable if H"(A)=0 for all n > 0 (or,
equivalently, H,t(/1) = 0 for all n > 0, and H0(A) is Hausdorff). Combining
Theorems 2.4.19 (for X = A*) and 2.4.20, we immediately have PROPOSITION
2.6.2.
2
Categories in Algebra, Geometry and Mathematical Physics: ...
Given any crossed complex C, there is a simplicially enriched groupoid which
can be constructed from it, and such that the corresponding Moore complex is
isomorphic to C. This relationship between crossed complexes and 'simplicial ...
3
Model Categories and Their Localizations
In addition, simplicially homotopic maps of simplicial sets induce simplicially
homotopic maps in a simplicial model category (see Lemma 9.5.17). Definition
9.5.2. Let M be a simplicial model category, let X and Y be objects of M, and let g
and ...
Philip S. Hirschhorn, 2009
4
Categorical Homotopy Theory
If, however, we replace the Kan extension defining L by its enriched analog,
defined in (7.6.7), then this functor is simplicially enriched. Exercise 3.7.18 Let
Mbe cocomplete. Show that the categoryM op of simplicial objects in M is
simplicially ...
5
Topology II: Homotopy and Homology. Classical Manifolds
The complete subspaces of the space Si A (see E above) are precisely the
spaces Si B with B c A. H. A map of a simplicial space X to a simplicial space Y is
said to be simplicial if it maps each simplex of X simplicially to a simplex of Y.
Such a ...
S.P. Novikov, V.A. Rokhlin, 2004
6
Smoothings of Piecewise Linear Manifolds
Suppose then that d : |St(v)| -» Rm_1 x R is a PL embedding such that n^d = A.
Let C be a subdivision of C in which fl is simplicially affine. Given s > 0, let r>0 be
so small that if w ( |Stc(v)| - |dStc(v is a vertex of C and |y-A(w)| < r, there exists a ...
Morris W. Hirsch, Barry Mazur, 1974
7
Spaces of PL Manifolds and Categories of Simple Maps
We say that a finite non—singular simplicial set X is simplicially collapsible if for
some vertex v of X there is a simplicial expansion {v} C X, cf. Definition 3.2.1(d).
By [Wh39, Thms. 6 and 7], any triangulation of [Ag] admits a subdivision that is ...
Friedhelm Waldhausen, Bjørn Jahren, John Rognes, 2013
8
S-modules in the Category of Schemes
Each prespectrum is levelwise simplicially weak equivalent to a levelwise
simplicially fibrant prespectrum, which can be made functorial. We recall a
description of this fibrant replacement functor. By the simplicial model structure
on Spc(S),, ...
9
Efficient Graph Representations.: The Fields Institute for ...
In general, fc-simplicially reducible graphs are not equivalent to graphs without
holes of size > k (exercise 12.7). Chordal bipartite graphs are equivalent to
bipartite graphs with 5-simplicial elimination schemes (exercise 9.3) It is not clear
...
10
Two-Dimensional Homotopy and Combinatorial Group Theory
However, by Zeeman ([Ze63-66], Chapters I and III), it follows that, for any
triangulation of a topological n-ball, there is an integer k such that the k-th
barycentric subdivision of the triangulation is simplicially collapsible. A result of
Chillingworth ...
Cynthia Hog-Angeloni, Wolfgang Metzler, Allan J. Sieradski, 1993
