Displaying similar documents to “On ideal equal convergence”

Spaces not distinguishing pointwise and -quasinormal convergence

Pratulananda Das, Debraj Chandra (2013)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we extend the notion of quasinormal convergence via ideals and consider the notion of -quasinormal convergence. We then introduce the notion of Q N ( w Q N ) space as a topological space in which every sequence of continuous real valued functions pointwise converging to 0 , is also -quasinormally convergent to 0 (has a subsequence which is -quasinormally convergent to 0 ) and make certain observations on those spaces.

Endomorphic cuts and tails

Karel Čuda, Athanossios Tzouvaras (1987)

Commentationes Mathematicae Universitatis Carolinae

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On homeomorphic and diffeomorphic solutions of the Abel equation on the plane

Zbigniew Leśniak (1993)

Annales Polonici Mathematici

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We consider the Abel equation φ[f(x)] = φ(x) + a on the plane ℝ², where f is a free mapping (i.e. f is an orientation preserving homeomorphism of the plane onto itself with no fixed points). We find all its homeomorphic and diffeomorphic solutions φ having positive Jacobian. Moreover, we give some conditions which are equivalent to f being conjugate to a translation.