Isomorphism of spaces of bounded continuous functions
Iterative processes and open mapping theorems
-systems, -networks and -covers
The concepts of -systems, -networks and -covers were defined by A. Arhangel’skiǐ in 1964, P. O’Meara in 1971 and R. McCoy, I. Ntantu in 1985, respectively. In this paper the relationships among -systems, -networks and -covers are further discussed and are established by -systems. As applications, some new characterizations of quotients or closed images of locally compact metric spaces are given by means of -systems.
-Ponomarev’s System and Images of Locally Separable Metric Spaces
La théorie des rétracts approximatifs et le théorème des points fixes de Lefschetz [Book]
Les ensembles de niveau et la monotonie d'une fonction
Liftings of compact sets of mappings through a light proper mapping are compact
Limit mappings and projections of inverse systems
Limit of approximate inverse system of totally regular continua is totally regular.
Linearly Singly Bi-k-spaces
Linking the closure and orthogonality properties of perfect morphisms in a category
We define perfect morphisms to be those which are the pullback of their image under a given endofunctor. The interplay of these morphisms with other generalisations of perfect maps is investigated. In particular, closure operator theory is used to link closure and orthogonality properties of such morphisms. A number of detailed examples are given.
Local behavior and the Vietoris and Whitehead theorems in shape theory
Local connectedness and connected open functions.
Local homeomorphisms [Book]
Local homeomorphisms and related mappings on graphs
Local homeomorphisms onto tree-like continua
Locally one-to-one mappings on graphs
Locally weakly confluent mappings on hereditarily locally connected continua
Mapping arcwise connected continua onto cyclic continua