Search
Search Results
-
Proximity on a Topological Space
We introduce the concepts that provide the notion of vicinity on a topological space, such as neighborhoods or convergence of sequences. The concept...
-
Quantum Fibrations: Quantum Computation on an Arbitrary Topological Space
Using operator algebras, we extend the theory of quantum computation on a graph to a theory of computation on an arbitrary topological space. Quantum...
-
Topological aspects of the space of metric measure spaces
Gromov introduced two distance functions, the box distance and the observable distance, on the space of isomorphism classes of metric measure spaces...
-
A widely connected topological space made from diamond
We give a construction of an infinite topological space with unusual properties. The space is regular, separable, and connected, but removing any...
-
The Concept of Topological Well-Ordered Space
Since the general definition of topology is based on the characteristics of the standard Euclidean topology, the relationships between the ordering...
-
A topological splitting of the space of meromorphic germs in several variables and continuous evaluators
We prove a topological decomposition of the space of meromorphic germs at zero in several variables with prescribed linear poles as a sum of spaces...
-
Topological Spaces
This chapter introduces the concept of topological space, the primary mathematical object in this book. The notion will appear devoid of any idea...
-
The double density spectrum of a topological space
It is an interesting, maybe surprising, fact that different dense subspaces of even “nice” topological spaces can have different densities. So, our...
-
Some aspects of countability and covering properties in mixed fuzzy topological space
Mixed fuzzy topological space is one of the major developments in topological spaces. Tripathy and Ray (Soft Comput 16(10):1691–1695, 2012) developed...
-
Topological Entropy, Topological Pressure and Topological Pseudo Entropy of Iterated Function Systems on Uniform Spaces
In this paper, we introduce the notions of topological entropy, topological pressure and topological pseudo-entropy of iterated function systems( IFS )...
-
Topological Spaces
Topological space is a set X together with a collection of subsets of X, which we call open sets. Once we have the notion of open sets, one can talk...
-
Topological and Homological Properties of the Orbit Space of a Simple Three-Dimensional Compact Linear Lie Group
AbstractThe question of whether an orbit space of a compact linear group is a topological manifold and a homology manifold is studied. The case of...
-
Some Topological Properties of the Space of Probability Measures
AbstractIn this work, the separability, locally separability, weakly separability and locally weakly separability of the space of probability...
-
Properties of Topological Partitions and Map**s of Topological Groups
In this paper, we examine topological partitions of topological spaces that arise in connection with continuous map**s of topological spaces. The...
-
Majorized multivalued maps, equilibrium and coincidence points in the topological vector space setting
In this paper we begin by presenting an equilibrium result for abstract economies for majorized type maps defined on Hausdorff topological vector...
-
Topological Rigidity
In Section 19.2 we give a necessary and sufficient condition for topological rigidity in terms of the surgery exact sequence.
-
Free Topological Algebra with Separately Continuous Mal’tsev Operation
AbstractTopological spaces with separately continuous Mal’tsev operation, called quasi-Mal’tsev spaces, are considered. The existence of the free...
-
TOPOLOGICAL MODULES GEOMETRY
The extremal structure of zero-neighbourhoods of a topological module is analyzed reaching unexpected conclusions when the module topology is not...
-
Topological Hecke eigenforms
We study the eigenforms of the action of A. Baker’s Hecke operators on the holomorphic elliptic homology of various topological spaces. We prove a...
