This loss can hardly be recovered. Professor Granas has profoundly contributed to the theory of fixed points and applications of topology in the theory of differential equations.
His habilitation thesis, The theory of compact vector fields and someof its applications to topology of functional spaces , Rozprawy Matematyczne 30, contributed to the resumption of research in global analysis in Poland, a discipline established in the s through the works of Jean Leray and Juliusz P. Professor Granas has greatly contributed to the organisation of the scientific community in Poland and Canada.
He set up the Juliusz P. Learn more.
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Metric invariants and quantitative topology – Misha Gromov's Homepage
No one has yet endorsed Methods of Functional Analysis and Topology. A detailed study is also made of various aspects e. Let E and F be topological vector spaces and let G and Y be topological abelian groups. We prove that a barrelled normed space may not be sequentially barrelled with respect to a complete metrizable locally bounded topological vector space,.
In this paper we discuss when a closed subgroup of a product is weakly rectangular. Some possible applications to the theory of group codes are also highlighted. Every real locally convex space lcs is a quotient space of an lcs with the Schur property, and every locally quasi-convex lqc abelian group is a quotient group of an lqc abelian group with the Schur property. As an application of the obtained results we show that a reflexive abelian group of finite exponent is a Mackey group. Kramosil and Michalek gave in a concept of fuzzy metric M on a set X which extends to the fuzzy setting the concept of probabilistic metric space introduced by K.
After, George and Veeramani Fuzzy Sets Syst —, modified the previous concept and gave a new definition of fuzzy metric. In this paper we survey some results relative to both concepts.
In particular, we focus our attention in the completion of fuzzy metrics in the sense of George and Veeramani, since there is a significative difference with respect to the classical metric theory in fact, there are fuzzy metric spaces, in this sense, which are not completable , and also in fixed point theory in both senses because it is a high activity area. Fabian, V.