On weakly chainable inverse limits with simplicial bonding maps
نویسندگان
چکیده
منابع مشابه
Inverse Limits on [0, 1] Using Piecewise Linear Unimodal Bonding Maps
In this paper we investigate inverse limits on [0, 1] using a single bonding map chosen from a two-parameter family of piecewise linear unimodal bonding maps. This investigation focuses on the parameter values at the boundary between an hereditarily decomposable inverse limit and an inverse limit containing an indecomposable continuum.
متن کاملSome results on weakly contractive maps
In this paper direct proofs of some common fixed point results for two and three mappings under weak contractive conditions are given. Some of these results are improved by using different arguments of control functions. Examples are presented showing that some generalizations cannot be obtained and also that our results are distinct from the existing ones.
متن کاملAn Arc as the Inverse Limit of a Single Nowhere Strictly Monotone Bonding Map on [0, 1]
Introduction. It is well known that a nondegenerate continuum (compact, connected metric space) is chainable if and only if it is homeomorphic to the limit of an inverse sequence of arcs with bonding maps onto. Several authors have studied chainable continua as inverse limits of arcs and in particular Henderson [3] and Mahavier [4] have contributed to the problem of characterizing the class C o...
متن کاملSimplicial Energy and Simplicial Harmonic Maps
We introduce a combinatorial energy for maps of triangulated surfaces with simplicial metrics and analyze the existence and uniqueness properties of the corresponding harmonic maps. We show that some important applications of smooth harmonic maps can be obtained in this setting.
متن کاملSimplicial ramified covering maps
In this paper we define the concept of a ramified covering map in the category of simplicial sets and we show that it has properties analogous to those of the topological ramified covering maps. We show that the geometric realization of a simplicial ramified covering map is a topological ramified covering map, and we also consider the relation with ramified covering maps in the category of simp...
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: Proceedings of the American Mathematical Society
سال: 1993
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1993-1172961-3