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Embedding Smooth Dendroids in Hyperspaces
Canadian Journal of Mathematics, 1979A continuum will be a connected, compact, metric space. By a mapping we mean a continuous function. By a partially ordered space X we mean a continuum X together with a partial order which is closed when regarded as a subset of X × X. We let 2x (resp. C(X)) denote the hyperspace of closed subsets (resp.
Grispolakis, J., Tymchatyn, E. D.
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Centers and shore points of a dendroid
Topology and Its Applications, 2007 A dendroid is an hereditarily unicoherent arc connected continuum. A subcontinuum of a dendroid is a bottleneck if it intersects every arc connecting two nonempty open sets in the dendroid. In 2003, P. Minc proved that every dendroid contains a point, called the center of the dendroid, that is contained in arbitrarily small bottlenecks. If the point is
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Proceedings of the Romanian Academy, Series A: Mathematics, Physics, Technical Sciences, Information Science
Let $X$ be a continuum. A mean is a continuous function $m:X\times X\to X$ such that $m(x,x)=x$ and $m(x,y)=m(y,x)$ for every $x,y\in X$. In this note we give an example to respond negatively a question that appears in [3] and observe that using a theorem that appears in [1], two other questions posed in [3] are answered.
Enrique CASTAÑEDA-ALVARADO +1 more
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Let $X$ be a continuum. A mean is a continuous function $m:X\times X\to X$ such that $m(x,x)=x$ and $m(x,y)=m(y,x)$ for every $x,y\in X$. In this note we give an example to respond negatively a question that appears in [3] and observe that using a theorem that appears in [1], two other questions posed in [3] are answered.
Enrique CASTAÑEDA-ALVARADO +1 more
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A CONCEPT OF POINTWISE SMOOTH DENDROIDS
Russian Mathematical Surveys, 1979n-* °° xn with lim xn=x. The point p(x) is called an initial point for χ in X. n-* It is easy to see that every smooth dendroid is also pointwise smooth. PROPOSITION 1. If a dendroid X is pointwise smooth, then so is every subdendroid ofX (the heredity of pointwise smoothness for dendroids). PROOF. Let Y be a subdendroid of X and χ E Y.
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The Structure of the Dendroid Graptolites
Geological Magazine, 1942In 1938 Roman Kozlowski published a preliminary account of a collection of dendroid graptolites and allied forms from the Upper Tremadoc of Wysoczki, Poland, upon which he had been working for many years. All of the thirty-eight species listed were new to science, as were twelve of the seventeen genera, for the reception of which he erected three new ...
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Homotopy of dendroidal structures
Homotopie des structures dendroïdales Cette thèse porte sur la théorie des infinies-opérades, une théorie générale des structures algébriques dans des contextes homotopiques et organisées de façon fonctorielle et cohérente. Notamment, étant donnée une opérade P on étudie l'infinie-catégorie des P-algèbres dans l'infinie-catégorie des ...openaire +1 more source