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
Continuous mappings on continua [Book]
Continuous monotone decompositions of planar curves
Contra-continuous functions and strongly -closed spaces.
Contra-semicontinuous functions.
Correction to: “Notes on quotient maps”
Correction to the paper: “Some factorization theorems for paracompact -spaces”
Corrections to: “Remarks on subsets of Cartesian products of metric spaces”
Corrigendum: On semi-homeomorphisms.