Simultaneous nondeterministic games. I
Simultaneous nondeterministic games. II
Simultaneous nondeterministic games. III
Simultaneous representations by metric spaces
Simultaneous representations in uniform spaces
Singular arc-like continua [Book]
Singular homology groups of one-dimensional Peano continua
Let X be a one-dimensional Peano continuum. Then the singular homology group H₁(X) is isomorphic to a free abelian group of finite rank or the singular homology group of the Hawaiian earring.
Singular homology of n-cell-like continua
Singularities and equicontinuity of certain families of set-valued mappings
In the present paper we establish an abstract principle of condensation of singularities for families consisting of set-valued mappings. By using it as a basic tool, the condensation of the singularities and the equicontinuity of certain families of generalized convex set-valued mappings are studied. In particular, a principle of condensation of the singularities of families of closed convex processes is derived. This principle immediately yields the uniform boundedness theorem stated in [1, Theorem...
Sinks, sources and saddles for expansive flows with the pseudo-orbits tracing property
S-integer dynamical systems: periodic points.
Six theorems about injective metric spaces.
Sixty questions on regular not paracompact spaces
Size functions
We introduce the notion of a nonarchimedean size function similar to the notion of a size function introduced by Marcos. We describe a class of ring topologies on fields that are complete, neither first countable nor locally bounded, but have topologically nilpotent elements.
Size levels for arcs
We determine the size levels for any function on the hyperspace of an arc as follows. Assume Z is a continuum and consider the following three conditions: 1) Z is a planar AR; 2) cut points of Z have component number two; 3) any true cyclic element of Z contains at most two cut points of Z. Then any size level for an arc satisfies 1)-3) and conversely, if Z satisfies 1)-3), then Z is a diameter level for some arc.
Sizes of sets and some fixed point theorems
Skeletal maps and I-favorable spaces
Skeletally Dugundji spaces
We introduce and investigate the class of skeletally Dugundji spaces as a skeletal analogue of Dugundji space. Our main result states that the following conditions are equivalent for a given space X: (i) X is skeletally Dugundji; (ii) every compactification of X is co-absolute to a Dugundji space; (iii) every C*-embedding of the absolute p(X) in another space is strongly π-regular; (iv) X has a multiplicative lattice in the sense of Shchepin [Shchepin E.V., Topology of limit spaces with uncountable...
Skew-product for group-valued edge labellings of Bratteli diagrams.
Skorohod's spaces