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Separate and joint properties of some analogues of pointwise discontinuity

In: Tatra Mountains Mathematical Publications, vol. 58, no. 1
Vasyľ Nesterenko
Detaily:
Rok, strany: 2014, 155 - 167
Kľúčové slová:
simple continuity, mild continuity, cliquishness, pointwise discontinuity.
O článku:
We study separate and joint properties of pointwise discontinuity, simple continuity and mild continuity of functions of two variables. In particular, it is shown that for a Baire space $X$, a Baire space $Y$ which has a countable pseudo-base and for a metric space $Z$, a function $f\colon X× Y\to Z$ is pointwise discontinuous if and only if $f$ satisfies $(α, β)$-condition and condition (C), and $M=\{x\in X: \overline{C(fx)}=Y\}$ is a residual subset of $X$. In addition, a characterization of simple continuity for mappings of one and two variables is given.
Ako citovať:
ISO 690:
Nesterenko, V. 2014. Separate and joint properties of some analogues of pointwise discontinuity. In Tatra Mountains Mathematical Publications, vol. 58, no.1, pp. 155-167. 1210-3195.

APA:
Nesterenko, V. (2014). Separate and joint properties of some analogues of pointwise discontinuity. Tatra Mountains Mathematical Publications, 58(1), 155-167. 1210-3195.