Homotopy separators and mappings into cubes
نویسندگان
چکیده
منابع مشابه
Embeddings into Crossed Cubes
The hypercube parallel architecture is one of the most popular interconnection networks due to many of its attractive properties and its suitability for general purpose parallel processing. An attractive version of the hypercube is the crossed cube. It preserves the important properties of the hypercube and most importantly reduces the diameter by a factor of two. In this paper, we show the abi...
متن کاملComputing Homotopy Types Using Crossed N -cubes of Groups∗
The aim of this paper is to explain how, through the work of a number of people, some algebraic structures related to groupoids have yielded algebraic descriptions of homotopy n-types. Further, these descriptions are explicit, and in some cases completely computable, in a way not possible with the traditional Postnikov systems, or with other models, such as simplicial groups. These algebraic st...
متن کاملA Coherent Homotopy Category of 2-track Commutative Cubes
We consider a category H ⊗ (the homotopy category of homotopy squares) whose objects are homotopy commutative squares of spaces and whose morphisms are cubical diagrams subject to a coherent homotopy relation. The main result characterises the isomorphisms of H ⊗ to be the cube morphisms whose forward arrows are homotopy equivalences. As a first application of the new category we give a direct ...
متن کاملDecomposing complete graphs into cubes
This talk concerns when the complete graph on n vertices can be decomposed into d-dimensional cubes, where d is odd and n is even. (All other cases have been settled.) Necessary conditions are that n ≡ 1 (mod d) and n ≡ 0 (mod 2). These are known to be sufficient for d equal to 3 or 5, but for larger values of d a decomposition has been proven to exist for only sparce sets of n. We prove that f...
متن کاملFolding Polyominoes into (Poly)Cubes
We study the problem of folding a given polyomino S into a polycube C under different folding models, allowing faces of C to be covered multiple times.
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: Fundamenta Mathematicae
سال: 1988
ISSN: 0016-2736,1730-6329
DOI: 10.4064/fm-131-2-149-154