Continua whose hyperspace and suspension are homeomorphic

On Continua Whose Links Are Non-intersecting

There are many examples known of compact continua no two of whose simple links intersect, even though uncountably many of the links are nondegenerate. On page 346 of his Foundations of point set theory [ l] , R. L. Moore has given an example of a compact continuum which is the sum of an uncountable collection of nondegenerate simple links, only a countable number of which intersect. In view of ...

Modules whose direct summands are FI-extending

‎A module $M$ is called FI-extending if every fully invariant submodule of $M$ is essential in a direct summand of $M$‎. ‎It is not known whether a direct summand of an FI-extending module is also FI-extending‎. ‎In this study‎, ‎it is given some answers to the question that under what conditions a direct summand of an FI-extending module is an FI-extending module?

The Hyperspace Effect: Phonetic Targets Are Hyperarticulated

Some Families of Graphs whose Domination Polynomials are Unimodal

Let $G$ be a simple graph of order $n$. The domination polynomial of $G$ is the polynomial $D(G, x)=sum_{i=gamma(G)}^{n} d(G,i) x^{i}$, where $d(G,i)$ is the number of dominating sets of $G$ of size $i$ and $gamma(G)$ is the domination number of $G$. In this paper we present some families of graphs whose domination polynomials are unimodal.

Discriminants of Convex Curves Are Homeomorphic

For a given real generic curve γ : S1 → Pn let Dγ denote the ruled hypersurface in Pn consisting of all osculating subspaces to γ of codimension 2. In this short note we show that for any two convex real projective curves γ1 : S1 → Pn and γ2 : S1 → Pn the pairs (Pn, Dγ1 ) and (Pn, Dγ2 ) are homeomorphic. §0. Preliminaries and results Definition. A smooth curve γ : S → P is called nondegenerate ...