A Collection of Dendroids
نویسنده
چکیده
An uncountable collection of uniformly arcwise connected plane Suslinian dendroids is constructed which shows that the negations of the following properties: local connectedness, smoothness, pointwise smoothness, hereditary contractibility, and selectibility are not countable in this class of
منابع مشابه
Minimal Sets on Graphs and dendrites
The topological structure of minimal sets of continuous maps on graphs, dendrites and dendroids is studied. A full characterization of minimal sets on graphs and a partial characterization of minimal sets on dendrites are given. An example of a minimal set containing an interval on a dendroid is
متن کاملMapping Chainable Continua onto Dendroids
We prove that every chainable continuum can be mapped into a dendroid such that all point-inverses consist of at most three points. In particular, it follows that there exists a finite-to-one map from a hereditarily indecomposable continuum (the pseudoarc) onto hereditarily decomposable continuum. This answers a question by J. Krasinkiewicz.
متن کاملBottlenecks in Dendroids
A subcontinuum C of a dendroid X is a bottleneck if it intersects every arc connecting two nonempty open subsets of X. We prove that every dendroid has a point p contained in arbitrarily small bottlenecks. Moreover, every plane dendroid contains a single point bottleneck. This implies, for instance, that each map from an indecomposable continuum into a plane dendroid must have an uncountable po...
متن کاملFixed Point Property for Monotone Mappings of Hereditarily Stratified
A continuum means comp6lct, connected metric space. A hereditarily unicoherent and arcwise connected continuum is called a dendroid. It follows that it is hereditarily decomposable ([2], (47), p. 239). A hereditarily unicoherent and hereditarily decomposable continuum is said to be a A.-dendroid. Thus, every dendroid is a }.-dendroid and an arcwise connected A.-dendroid is a dendroid. Note that...
متن کاملA Review of Local Factors Affecting Solid Waste Collection in Nigeria
The knowledge of local and regional factors that affect effective solidwaste collection plays an important role in choosing appropriate technology. Wastecollection has grown to become a major challenge demanding daily response from wastemanagers and it becomes inevitable to provide stakeholders with necessary information toaid key decision-making. This paper provides a comprehensive and detaile...
متن کامل