Add to ORKGABSTRACT: Let X be a space and U be an open cover of X. Then X is U chainable if for each x E X, sfXl(x, U) = X and it is U-unifonnly chainable if there is an n E N such that for each x E X, X = stn(x, U). In this paper we characterise connected spaces in tenns of U-chainability, connected spaces satisfying fmite discrete chain condition in tenns of U-unifonn chainability and obtain several results which are analogues of the known resuIts for metric spaces
ABSTRACT. In the theory of generalized metric spaces, the notion of k-networks has played an importa...
AbstractGiven a space 〈X,T〉 in an elementary submodel of H(θ), define XM to be X∩M with the topology...
We investigate under what conditions a co-recursively enumerable set S in a computable metric space ...
A metric space (X, d) is called finitely chainable if for every epsilon > 0, there are finitely many...
Received:22/08/2014 Accepted:28/10/2014 In this paper, we define locally chainable sets in metric sp...
For a metric space X, we denote the hyperspaces of nonempty closed subsets, closed connected subsets...
On the surface, the definitions of chainability and Lebesgue covering dimension ⩽1 are quite similar...
This dissertation is a study of the relationship between a topological space X and varioushigher-ord...
AbstractOn the surface, the definitions of chainability and Lebesgue covering dimension ⩽1 are quite...
Connectedness, path connectedness, and uniform connectedness are well-known concepts. In the traditi...
ABSTRACT. The concept of uniform connectedness, which generalizes the concept of well-chainedness fo...
ABSTRACT. A continuum is said to be continuum chainable provided that, for each pair x,y of points a...
When discussing the concept of connectedness, we often come across the equivalent criterion that a s...
When discussing the concept of connectedness, we often come across the equivalent criterion that a s...
Connectedness, path connectedness, and uniform connectedness are well-known concepts. In the tradit...
ABSTRACT. In the theory of generalized metric spaces, the notion of k-networks has played an importa...
AbstractGiven a space 〈X,T〉 in an elementary submodel of H(θ), define XM to be X∩M with the topology...
We investigate under what conditions a co-recursively enumerable set S in a computable metric space ...
A metric space (X, d) is called finitely chainable if for every epsilon > 0, there are finitely many...
Received:22/08/2014 Accepted:28/10/2014 In this paper, we define locally chainable sets in metric sp...
For a metric space X, we denote the hyperspaces of nonempty closed subsets, closed connected subsets...
On the surface, the definitions of chainability and Lebesgue covering dimension ⩽1 are quite similar...
This dissertation is a study of the relationship between a topological space X and varioushigher-ord...
AbstractOn the surface, the definitions of chainability and Lebesgue covering dimension ⩽1 are quite...
Connectedness, path connectedness, and uniform connectedness are well-known concepts. In the traditi...
ABSTRACT. The concept of uniform connectedness, which generalizes the concept of well-chainedness fo...
ABSTRACT. A continuum is said to be continuum chainable provided that, for each pair x,y of points a...
When discussing the concept of connectedness, we often come across the equivalent criterion that a s...
When discussing the concept of connectedness, we often come across the equivalent criterion that a s...
Connectedness, path connectedness, and uniform connectedness are well-known concepts. In the tradit...
ABSTRACT. In the theory of generalized metric spaces, the notion of k-networks has played an importa...
AbstractGiven a space 〈X,T〉 in an elementary submodel of H(θ), define XM to be X∩M with the topology...
We investigate under what conditions a co-recursively enumerable set S in a computable metric space ...