C-closed functions
Čech methods and the adjoint functor theorem
Čech-Stone-like compactifications for general topological spaces
The problem whether every topological space has a compactification such that every continuous mapping from into a compact space has a continuous extension from into is answered in the negative. For some spaces such compactifications exist.
Cellularity and the index of narrowness in topological groups
We study relations between the cellularity and index of narrowness in topological groups and their -modifications. We show, in particular, that the inequalities and hold for every topological group and every cardinal , where denotes the underlying group endowed with the -modification of the original topology of and is the index of narrowness of the group . Also, we find some bounds for the complexity of continuous real-valued functions on an arbitrary -narrow group understood...
Chain conditions and continuous mappings on
Chain of dendrites openly unbounded from below.
Chain of dendrites without open infimum.
Chain of dendrites without open supremum.
Chain of dendrites without retract infimum.
Chainable continua and homeomorphisms of the plane onto itself
Champs mesurables et multisections
Chapman's category isomorphism for arbitrary ARs
Characterization of Baire-one functions between topological spaces
Characterization of Hilbert cube manifolds: an alternate proof
Characterization of strongly exposed points in .
Characterizations of Sn-metrizable Spaces
Characterizations of Some Classes of Perfect Spaces in Terms of Continuous Selections Avoiding Supporting Sets
Some kinds of perfect spaces, including paracompact perfectly normal spaces and collectionwise normal perfect spaces, are characterized in terms of continuous selections avoiding supporting sets. A necessary and sufficient condition on a domain space for a selection theorem of E. Michael [Fund. Math. 47 (1959), 173-178] to hold is also obtained.
Characterizations of some near-continuous functions and near-open functions.
Characterizations of -Lindelöf spaces
A topological space is said to be -Lindelöf [1] if every cover of by cozero sets of admits a countable subcover. In this paper, we obtain new characterizations and preservation theorems of -Lindelöf spaces.
Characterizations of -stratifiable spaces