On a shadowing lemma in metric spaces
In the present paper conditions are studied, under which a pseudo-orbit of a continuous map , where is a metric space, is shadowed, in a more general sense, by an accurate orbit of the map .
On a shape characterization of some two-polyhedra
On a simply connected 1-dimensional continuum without the fixed point property
On a simultaneous selection theorem
Valov proved a general version of Arvanitakis's simultaneous selection theorem which is a common generalization of both Michael's selection theorem and Dugundji's extension theorem. We show that Valov's theorem can be extended by applying an argument by means of Pettis integrals due to Repovš, Semenov and Shchepin.
On a singular plane continuum
On a special metric and dimension
On a stability theorem for the fixed-point property
On a Suzuki type general fixed point theorem with applications.
On a tensor product in initially structured categories
On a theorem of B. Barna.
On a theorem of Holický and Zelený concerning Borel maps without -compact fibers
The paper is concerned with a recent very interesting theorem obtained by Holický and Zelený. We provide an alternative proof avoiding games used by Holický and Zelený and give some generalizations to the case of set-valued mappings.
On a theorem of Jones and Heath concerning separable normal spaces
On a theorem of M. Katětov
On a theorem of Michael-Morita-Hanai
On a theorem of P. S. Aleksandrov
On a theorem of Pachpatte
On a theorem of Popa and Noiri on multifunctions
On a theorem of Šapirovskiĭ on the size of a sequential space.
On a theorem of van Douwen.
On a theorem of W. Hurewicz on mappings which lower dimension