Connectedness and strong semicontinuity
Connectedness degrees in -fuzzy topological spaces.
Connectedness in fuzzy topology
Connectedness in monotone spaces.
Connectedness in ordered topological spaces
Connectedness of complete metric groups
Connectedness of some rings of quotients of with the -topology
In this article we define the -topology on some rings of quotients of . Using this, we equip the classical ring of quotients of with the -topology and we show that with the -topology is in fact a subspace of with the -topology. Characterization of the components of rings of quotients of is given and using this, it turns out that with the -topology is connected if and only if is a pseudocompact almost -space, if and only if with -topology is connected. We also observe that...
Connecting fuzzifying topologies and generalized ideals by means of fuzzy preorders.
Connection between set theory and the fixed point property
Connection matrix pairs
We discuss the ideas of Morse decompositions and index filtrations for isolated invariant sets for both single-valued and multi-valued maps. We introduce the definition of connection matrix pairs and present the theorem of their existence. Connection matrix pair theory for multi-valued maps is used to show that connection matrix pairs obey the continuation property. We conclude by addressing applications to numerical analysis. This paper is primarily an overview of the papers [R1] and [R2].
Connections between connected topological spaces on the set of positive integers
In this paper we introduce a connected topology T on the set ℕ of positive integers whose base consists of all arithmetic progressions connected in Golomb’s topology. It turns out that all arithmetic progressions which are connected in the topology T form a basis for Golomb’s topology. Further we examine connectedness of arithmetic progressions in the division topology T′ on ℕ which was defined by Rizza in 1993. Immediate consequences of these studies are results concerning local connectedness of...
Connectivity functions and retracts
Connectivity functions defined on
Connectivity of diagonal products of Baire one functions
We characterize those Baire one functions f for which the diagonal product x → (f(x), g(x)) has a connected graph whenever g is approximately continuous or is a derivative.
Connectivity properties for subspaces of function spaces determined by fixed points.
Connectivity properties in hyperspaces and product spaces
Connectivity properties of sequential Boolean algebras
Connectivity retracts of unicoherent Peano continua in
Connexions between convexity of a metric continuum and convexity of its hyperspaces and
Connexité locale