Mapping theorems on -spaces
In this paper we improve some mapping theorems on -spaces. For instance we show that an -space is preserved by a closed and countably bi-quotient map. This is an improvement of Yun Ziqiu’s theorem: an -space is preserved by a closed and open map.
Mappings and decompositions of continuity on almost Lindelöf spaces.
Mappings and inductive invariants
Mappings covered by products and pinched products
Mappings of terminal continua.
Mappings on compact metric spaces
Mappings on manifolds
Mappings on -paracompact spaces.
Mappings onto circle-like continua
Mappings related to confluence
Necessary and sufficient conditions are found in the paper for a mapping between continua to be monotone, confluent, semi-confluent, joining, weakly confluent and pseudo-confluent. Three lists of these conditions are presented. Two are formulated in terms of components and of quasi-components, respectively, of connected closed subsets of the range space, while the third one in terms of connectedness between subsets of the domain space. Some basic relations concerning these concepts are studied.
Mappings that preserve Cauchy sequences
Mappings with 1-dimensional absolute neighborhood retract fibers
Mathematical theory of von Neumann economic models. Report on recent results
Maxima and minima of simply continuous and quasicontinuous functions
Maximal elements and equilibria of generalized games for -majorized and condensing correspondences.
Maximal pseudocompact spaces
Maximal pseudocompact spaces (i.e. pseudocompact spaces possessing no strictly stronger pseudocompact topology) are characterized. It is shown that submaximal pseudocompact spaces whose pseudocompact subspaces are closed need not be maximal pseudocompact. Various techniques for constructing maximal pseudocompact spaces are described. Maximal pseudocompactness is compared to maximal feeble compactness.
Maximal p-Systems and Realcompleteness.
Maximums of Darboux Baire one functions
Maximums of Darboux quasi-continuous functions