A generalised Mazurkiewicz-Sierpiński theorem with an application to analytic sets
A generalization of a contraction principle in probabilistic metric spaces. II.
A generalization of a fixed point theorem of Ćirić.
A generalization of Baire category in a continuous set.
A Generalization Of Banach's Contraction Principle
A generalization of Banach's contraction principle.
A generalization of Caristi's fixed point theorem.
A generalization of Ćirić quasi-contraction
A generalization of fixed point theorems in -metric spaces
A generalization of Kannan's fixed point theorem.
A generalization of N. Aronszajn's theorem on connectedness of the fixed point set of a compact mapping
A generalization of Nadler's fixed point theorem.
A generalization of semiflows on monomials
Let be a field, and the set of monomials of . It is well known that the set of monomial ideals of is in a bijective correspondence with the set of all subsemiflows of the -semiflow . We generalize this to the case of term ideals of , where is a commutative Noetherian ring. A term ideal of is an ideal of generated by a family of terms , where and are integers .
A generalization of Shoenfield theorem on sets
A generalization of Steinhaus' theorem to coordinatewise measure preserving binary transformations
A generalized version of the Gale-Nikaido-Debréu theorem
A geometric proof of the Perron-Frobenius theorem.
We obtain an elementary geometrical proof of the classical Perron-Frobenius theorem for non-negative matrices A by using the Brouwer fixed-point theorem and by studying the dynamics of the action of A on convenient subsets of Rn.
A Gregus type common fixed point theorem in normed spaces with applications.
A group automorphism is a factor of a direct product of a zero entropy automorphism and a Bernoulli automorphism
A group topology on the free abelian group of cardinality 𝔠 that makes its square countably compact
Under 𝔭 = 𝔠, we prove that it is possible to endow the free abelian group of cardinality 𝔠 with a group topology that makes its square countably compact. This answers a question posed by Madariaga-Garcia and Tomita and by Tkachenko. We also prove that there exists a Wallace semigroup (i.e., a countably compact both-sided cancellative topological semigroup which is not a topological group) whose square is countably compact. This answers a question posed by Grant.