Maximal sets of involutions

Some results on maximal open sets

In this paper, the notion of maximal m-open set is introduced and itsproperties are investigated. Some results about existence of maximal m-open setsare given. Moreover, the relations between maximal m-open sets in an m-spaceand maximal open sets in the corresponding generated topology are considered.Our results are supported by examples and counterexamples.

Fixed Point Sets of Involutions on Spheres

Maximal Sets of Factors

In this paper, a survey is presented of results concerning maximal sets of factors in graphs. These factors at times satisfy additional structural constraints, such as being connected, or such as requiring each component of each factor to be isomorphic. Each set of factors occurs in some natural family of graphs, including complete graphs and complete multipartite graphs.

ATOMLESS r-MAXIMAL SETS

We focus on L(A), the filter of supersets of A in the structure of the computably enumerable sets under the inclusion relation, where A is an atomless r-maximal set. We answer a long standing question by showing that there are infinitely many pairwise non-isomorphic filters of this type.

Concerning Maximal Sets