Add to ORKGABSTRACT. This paper shows the relationship between two different two-point intersection properties of sets in the plane- sets with the double midset property and sets with a generalized Mazurkiewicz property. Many unsolved problems are stated along with proving that path connected sets with the generalized Mazurkiewicz property are simple closed curves. The paper closes with a proof that the simple analogue of a Mazurkiewicz set in three-space does not exist and with results related to such sets in three space. 1
A two-point set is a subset of the plane which meets every line in exactly two points. By working in...
A dual blocking set is a set of points which meets every blocking set but contains no line. We estab...
ABSTRACT: In this paper, we investigate two well-known classes of surfaces that have both to do with...
AbstractMazurkiewicz proved the existence of a subset of the Euclidean plane E2 with the property th...
summary:A Mazurkiewicz set $M$ is a subset of a plane with the property that each straight line inte...
A Mazurkiewicz set M is a subset of a plane with the property that each straight line intersects M i...
summary:A Mazurkiewicz set $M$ is a subset of a plane with the property that each straight line inte...
summary:A Mazurkiewicz set $M$ is a subset of a plane with the property that each straight line inte...
AbstractA metric space X is said to have the double midset property if the set of all points equidis...
summary:A subset of the plane is called a two point set if it intersects any line in exactly two poi...
summary:A subset of the plane is called a two point set if it intersects any line in exactly two poi...
Abstract. If x and y are two points in a metric space (X,p), then the equidistant set or midset M(x,...
AbstractThe midset M(a, b) of two points a and b in a metric space X is the set of all points equidi...
Let A={A1,…,An} be a family of sets in the plane. For 0≤i2b be integers. We prove that if each k-wis...
Let A={A1,…,An} be a family of sets in the plane. For 0≤i2b be integers. We prove that if each k-wis...
A two-point set is a subset of the plane which meets every line in exactly two points. By working in...
A dual blocking set is a set of points which meets every blocking set but contains no line. We estab...
ABSTRACT: In this paper, we investigate two well-known classes of surfaces that have both to do with...
AbstractMazurkiewicz proved the existence of a subset of the Euclidean plane E2 with the property th...
summary:A Mazurkiewicz set $M$ is a subset of a plane with the property that each straight line inte...
A Mazurkiewicz set M is a subset of a plane with the property that each straight line intersects M i...
summary:A Mazurkiewicz set $M$ is a subset of a plane with the property that each straight line inte...
summary:A Mazurkiewicz set $M$ is a subset of a plane with the property that each straight line inte...
AbstractA metric space X is said to have the double midset property if the set of all points equidis...
summary:A subset of the plane is called a two point set if it intersects any line in exactly two poi...
summary:A subset of the plane is called a two point set if it intersects any line in exactly two poi...
Abstract. If x and y are two points in a metric space (X,p), then the equidistant set or midset M(x,...
AbstractThe midset M(a, b) of two points a and b in a metric space X is the set of all points equidi...
Let A={A1,…,An} be a family of sets in the plane. For 0≤i2b be integers. We prove that if each k-wis...
Let A={A1,…,An} be a family of sets in the plane. For 0≤i2b be integers. We prove that if each k-wis...
A two-point set is a subset of the plane which meets every line in exactly two points. By working in...
A dual blocking set is a set of points which meets every blocking set but contains no line. We estab...
ABSTRACT: In this paper, we investigate two well-known classes of surfaces that have both to do with...