On the Pointwise Implementation of Near-actions
نویسنده
چکیده
We show that the continuum hypothesis implies that every measure preserving near-action of a group on a standard Borel probability space (X,μ) has a pointwise implementation by Borel measure preserving automorphisms.
منابع مشابه
POINTWISE PSEUDO-METRIC ON THE L-REAL LINE
In this paper, a pointwise pseudo-metric function on the L-realline is constructed. It is proved that the topology induced by this pointwisepseudo-metric is the usual topology.
متن کاملStability and convergence theorems of pointwise asymptotically nonexpansive random operator in Banach space
In this paper, we prove the existence of a random fixed point of by using pointwise asymptotically nonexpansive random operator and the stability resultsof two iterative schemes for random operator.
متن کاملPOINTWISE CONVERGENCE TOPOLOGY AND FUNCTION SPACES IN FUZZY ANALYSIS
We study the space of all continuous fuzzy-valued functions from a space $X$ into the space of fuzzy numbers $(mathbb{E}sp{1},dsb{infty})$ endowed with the pointwise convergence topology. Our results generalize the classical ones for continuous real-valued functions. The field of applications of this approach seems to be large, since the classical case allows many known devices to be fi...
متن کاملOn quasi $P$-spaces and their applications in submaximal and nodec spaces
A topological space is called submaximal if each of its dense subsets is open and is called nodec if each of its nowhere dense ea subsets is closed. Here, we study a variety of spaces some of which have already been studied in $C(X)$. Among them are, most importantly, quasi $P$-spaces and pointwise quasi $P$-spaces. We obtain some new useful topological characterizations of quasi $...
متن کاملAdaptive Maximization of Pointwise Submodular Functions With Budget Constraint
We study the worst-case adaptive optimization problem with budget constraint that is useful for modeling various practical applications in artificial intelligence and machine learning. We investigate the near-optimality of greedy algorithms for this problem with both modular and non-modular cost functions. In both cases, we prove that two simple greedy algorithms are not near-optimal but the be...
متن کامل