Results 1  10
of
13,831
On Bornological Groups of Continuous Mappings
"... Copyright c © 2014 Dinamérico P. Pombo Jr. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Certain abelian bornological groups of c ..."
Abstract
 Add to MetaCart
of continuous mappings from topological spaces into abelian topological groups are shown to be isomorphic to bornological projective limits of abelian bornological groups of continuous mappings.
SHADOWING PROPERTY OF CONTINUOUS MAPS
"... Abstract. We study continuous maps of an interval into itself. We find the necessary and sufficient condition for the maps of the type 2 " to have the shadowing property. Further we show that any chaotic map, which has only cycles of order a power of 2, does not have the shadowing property. ..."
Abstract
 Add to MetaCart
Abstract. We study continuous maps of an interval into itself. We find the necessary and sufficient condition for the maps of the type 2 " to have the shadowing property. Further we show that any chaotic map, which has only cycles of order a power of 2, does not have the shadowing property.
On Flow and TensionContinuous Maps
, 2002
"... A cycle of a graph G is a set C ⊆ E(G) so that every vertex of the graph (V(G), C) has even degree. If G, H are graphs, we define a map φ: E(G) → E(H) to be cyclecontinuous if the preimage of every cycle of H is a cycle of G. A fascinating conjecture of Jaeger asserts tha ..."
Abstract
 Add to MetaCart
A cycle of a graph G is a set C ⊆ E(G) so that every vertex of the graph (V(G), C) has even degree. If G, H are graphs, we define a map φ: E(G) → E(H) to be cyclecontinuous if the preimage of every cycle of H is a cycle of G. A fascinating conjecture of Jaeger asserts
On Continuous Maps in Closure Spaces1
"... The aim of this paper is to study some properties of continuous maps in closure spaces. ..."
Abstract
 Add to MetaCart
The aim of this paper is to study some properties of continuous maps in closure spaces.
TWO QUESTIONS ON CONTINUOUS MAPPINGS
"... Abstract. In this paper, it is shown that a mapping from a sequential space is continuous iff it is sequentially continuous, which improves a result by relaxing firstcountability of domains to sequentiality. An example is also given to show that open mappings do not imply Darbouxmappings, which an ..."
Abstract
 Add to MetaCart
Abstract. In this paper, it is shown that a mapping from a sequential space is continuous iff it is sequentially continuous, which improves a result by relaxing firstcountability of domains to sequentiality. An example is also given to show that open mappings do not imply Darbouxmappings, which
Extendability of continuous maps is undecidable∗
, 2013
"... We consider two basic problems of algebraic topology, the extension problem and the computation of higher homotopy groups, from the point of view of computability and computational complexity. The extension problem is the following: Given topological spaces X and Y, a subspace A ⊆ X, and a (continuo ..."
Abstract
 Add to MetaCart
(continuous) map f: A → Y, decide whether f can be extended to a continuous map f ̄ : X → Y. All spaces are given as finite simplicial complexes and the map f is simplicial. Recent positive algorithmic results, proved in a series of companion papers, show that for (k − 1)connected Y, k ≥ 2, the extension
FUZZY w CONTINUOUS MAPPINGS 1
"... Abstract: The purpose of this paper to introduce and study the concepts of fuzzy wclosed sets and fuzzy wcontinuous mappings in fuzzy topological spaces. Index Terms: fuzzy open set, fuzzy closed set, fuzzy semi open set, fuzzy closed set, fuzzy semi closed set, fuzzy gclosed set, fuzzy gopen se ..."
Abstract
 Add to MetaCart
Abstract: The purpose of this paper to introduce and study the concepts of fuzzy wclosed sets and fuzzy wcontinuous mappings in fuzzy topological spaces. Index Terms: fuzzy open set, fuzzy closed set, fuzzy semi open set, fuzzy closed set, fuzzy semi closed set, fuzzy gclosed set, fuzzy g
Operator Decomposition of Continuous Mappings
"... In this paper we introduce the concepts of (α, β) weakly continuous mapping and closed (α, β) continuous mapping. We prove that a map f is (α, id) weakly continuous if and only if f is (α, β) weakly continuous and (α, β∗) weakly continuous, where β and β ∗ are mutually dual operators. The concept o ..."
Abstract
 Add to MetaCart
In this paper we introduce the concepts of (α, β) weakly continuous mapping and closed (α, β) continuous mapping. We prove that a map f is (α, id) weakly continuous if and only if f is (α, β) weakly continuous and (α, β∗) weakly continuous, where β and β ∗ are mutually dual operators. The concept
ON EXTENSION OF PAIRWISE 8CONTINUOUS MAPS
, 1993
"... ABSTRACT. The am of the paper is to find suitable conditions so as to ultimately establish the existence and uniqueness of the extension of a pairwise 8continuous map onto an arbitrary extensionspace of a bitopological space. KEY WORDS AND PHRASES. Bitopological extension, pairwise 8continuity, p ..."
Abstract
 Add to MetaCart
ABSTRACT. The am of the paper is to find suitable conditions so as to ultimately establish the existence and uniqueness of the extension of a pairwise 8continuous map onto an arbitrary extensionspace of a bitopological space. KEY WORDS AND PHRASES. Bitopological extension, pairwise 8continuity
Chord: A Scalable PeertoPeer Lookup Protocol for Internet Applications
 ACM SIGCOMM
, 2001
"... A fundamental problem that confronts peertopeer applications is the efficient location of the node that stores a desired data item. This paper presents Chord, a distributed lookup protocol that addresses this problem. Chord provides support for just one operation: given a key, it maps the key onto ..."
Abstract

Cited by 809 (15 self)
 Add to MetaCart
onto a node. Data location can be easily implemented on top of Chord by associating a key with each data item, and storing the key/data item pair at the node to which the key maps. Chord adapts efficiently as nodes join and leave the system, and can answer queries even if the system is continuously
Results 1  10
of
13,831