On prime ideals of
On probabilistic normed spaces under .
On proximities generated by countable families of entourages
It is shown that any proximity that is generated by a countable family of entourages is sequential. Metrization theorems for proximities are derived.
On proximity ordered spaces
On pseudo-sequence-covering pi images of locally separable metric spaces
On pseudo-sequence-covering -images of locally separable metric spaces.
On quasi-uniform space valued semi-continuous functions
F. van Gool [Comment. Math. Univ. Carolin. 33 (1992), 505–523] has introduced the concept of lower semicontinuity for functions with values in a quasi-uniform space . This note provides a purely topological view at the basic ideas of van Gool. The lower semicontinuity of van Gool appears to be just the continuity with respect to the topology generated by the quasi-uniformity , so that many of his preparatory results become consequences of standard topological facts. In particular, when the order...
On rectangles and countably generated families
On rectangular covers of
On relatively contractive relations in pairs of generalized uniform spaces.
J. C. Mathews and D. W. Curtis, [4], have introduced some structures which generalize structures of uniform types to the product of two sets, and they obtain a generalized version of Banach's contraction mapping theorem. In this note we prove that these structures are obtained from the usual analogues by means of a particular bijection; hence we do not have a meaningful generalization. For example, this bijection provides, from a result by A. S. Davies, [1], an analogue of Banach's well-known contraction...
On rigid subsets of some manifolds
On -metrizable spaces
On semi-uniformities
On separability in semi-stratifiable spaces
On Sequence-covering mssc-images of Locally Separable Metric Spaces
On sequence-covering --images of locally separable metric spaces
On shapes of topological spaces
On simple recognizing of bounded sets
We characterize those uniform spaces and commutative topological groups the bounded subsets of which can be recognized by using only one uniformly continuous pseudometric.
On Simultaneous Fixed Points of Multi-Valued Maps.
On some applications of infinite-dimensional manifolds to the theory of shape