منابع مشابه
On the cardinality of functionally Hausdorff spaces
In this paper two new cardinal functions are introduced and investigated. In particular the following two theorems are proved: (i) If X is a functionally Hausdorff space then |X| ≤ 2fs(X)ψτ (X); (ii) Let X be a functionally Hausdorff space with fs(X) ≤ κ. Then there is a subset S of X such that |S| ≤ 2 and X = S {clτθ(A) : A ∈ [S] }.
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Let M be a compact spin manifold with a smooth action of the ntorus. Connes and Landi constructed θ-deformations Mθ of M , parameterized by n × n skew-symmetric matrices θ. The Mθ’s together with the canonical Dirac operator (D,H) on M are an isospectral deformation of M . The Dirac operator D defines a Lipschitz seminorm on C(Mθ), which defines a metric on the state space of C(Mθ). We show tha...
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ژورنال
عنوان ژورنال: Applied General Topology
سال: 2005
ISSN: 1989-4147,1576-9402
DOI: 10.4995/agt.2005.1960