Closed mappings on complete metric spaces
Closed mappings which lower dimension
Compact images of spaces with a weaker metric topology
If is a space that can be mapped onto a metric space by a one-to-one mapping, then is said to have a weaker metric topology. In this paper, we give characterizations of sequence-covering compact images and sequentially-quotient compact images of spaces with a weaker metric topology. The main results are that (1) is a sequence-covering compact image of a space with a weaker metric topology if and only if has a sequence of point-finite -covers such that for each . (2) is a sequentially-quotient...
Complements of solenoids in are m-spaces
Completely continuous images of nearly paracomact spaces
Completely -continuous multifunctions.
Component restriction property for classes of mappings.
Compositions of confluent mappings and some other classes of functions
Compositions of simple maps
A map (= continuous function) is of order ≤ k if each of its point-inverses has at most k elements. Following [4], maps of order ≤ 2 are called simple. Which maps are compositions of simple closed [open, clopen] maps? How many simple maps are really needed to represent a given map? It is proved herein that every closed map of order ≤ k defined on an n-dimensional metric space is a composition of (n+1)k-1 simple closed maps (with metric domains). This theorem fails to be true...
Concerning Splittability and Perfect Mappings
Condensations of Cartesian products
We consider when one-to-one continuous mappings can improve normality-type and compactness-type properties of topological spaces. In particular, for any Tychonoff non-pseudocompact space there is a such that can be condensed onto a normal (-compact) space if and only if there is no measurable cardinal. For any Tychonoff space and any cardinal there is a Tychonoff space which preserves many properties of and such that any one-to-one continuous image of , , contains a closed copy...
Confluent and related mappings
Confluent local expansions
Confluent mappings of fans [Book]
Connectivity functions and retracts
Connectivity functions defined on
Constant and variable drop theorems on metrizable locally convex spaces
Continua whose local homeomorphisms are homeomorphisms
Continuous functions on countable subspaces