Tangent mappings and convergent sequences in the Lipschitz category
The category of compactifications and its coreflections
We define “the category of compactifications”, which is denoted CM, and consider its family of coreflections, denoted corCM. We show that corCM is a complete lattice with bottom the identity and top an interpretation of the Čech–Stone . A corCM implies the assignment to each locally compact, noncompact a compactification minimum for membership in the “object-range” of . We describe the minimum proper compactifications of locally compact, noncompact spaces, show that these generate the atoms...
The class of -spaces is invariant of closed mappings with Lindelöf fibres
The coarsest topology for -approximately continuous functions
The convergence approach to exponentiable maps.
The equivalence of absolute almost continuous retracts and ε-absolute
The existence of local homeomorphisms of degree on local dendrites
In this paper we characterize local dendrites which are the images of themselves under local homeomorphisms of degree for each positive integer .
The Fixed Point Transfer of Fibre-Preserving Maps.
The hereditary classes of mappings
The inverse image of a metric space under a biquotient compact mapping
The least element map
The metric confluent images of half-lines and lines
The openness of induced maps on hyperspaces
The pseudo-arc as an inverse limit with simple bonding maps
The set function T and homotopies
The star compactification.
The Tamano Theorem in
In this paper we continue with the study of paracompact maps introduced in [1]. We give two external characterizations for paracompact maps including a characterization analogous to The Tamano Theorem in the category (of topological spaces and continuous maps as morphisms). A necessary and sufficient condition for the Tychonoff product of a closed map and a compact map to be closed is also given.
The topological degree and fixed points of DC-mappings
Three countable connected spaces
Topological completeness of first countable Hausdorff spaces II