منابع مشابه
Mapping Spaces and M-cw Complexes
We describe a procedure for recovering X from the space of maps from M into X, when M is constructed by cofibers of self-maps. This can be used to define an M-CW approximation functor. The case when M is a Moore space is discussed in greater detail.
متن کاملSpecification and Towers in Shift Spaces
We show that a shift space on a finite alphabet with a non-uniform specification property can be modeled by a strongly positive recurrent countable-state Markov shift to which every equilibrium state lifts. In addition to uniqueness of the equilibrium state, this gives strong statistical properties including the Bernoulli property, exponential decay of correlations, central limit theorem, and a...
متن کاملS-types of Global Towers of Spaces and Exterior Spaces
The closed model category of exterior spaces, that contains the proper category, is a useful tool for the study of non compact spaces and manifolds. The notion of exterior weak N-Sequivalences is given by exterior maps which induce isomorphisms on the k-th N-exterior homotopy groups πN k for k ∈ S, where S is a set of non negative integers. The category of exterior spaces with a base ray locali...
متن کاملModified Hanoi Towers Groups and Limit Spaces
We introduce the k-peg Hanoi automorphisms and Hanoi self-similar groups, a generalization of the Hanoi Towers groups, and give conditions for them to be contractive. We analyze the limit spaces of a particular family of contracting Hanoi groups, H (k) c , and show that these are the unique maximal contracting Hanoi groups under a suitable symmetry condition. Finally, we provide partial results...
متن کاملPostnikov Towers and Gottlieb Groups of Orbit Spaces
Let X be a 1-connected space with the homotopy type of a CW -space and H a finite group acting freely on X by homeomorphisms homotopic to the identity. We prove that lkη∗Gk(X) ⊆ Gk(X/H) for all k > 1 and some estimated positive integer lk which depends on k, where Gk is the k′th Gottlieb group and η : X → X/H is the quotient map to the orbit space X/H. We show that lk is independent of k for X ...
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: Topology and its Applications
سال: 2015
ISSN: 0166-8641
DOI: 10.1016/j.topol.2015.07.017