Compact $2$-manifolds as maximal ideal spaces

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Lipschitz Spaces on Compact Manifolds

Let f be a bounded function on the real line IF!. One may characterize the structural properties off by the modulus of smoothness w(t,f) = sup{lf (4 -f( y)l; x, y E 08, I x y I < t>, and, if w(t) is a continuous nondecreasing function of t > 0 such that w(O) = 0, by the Lipschitz class Lip(w) which is the set of all continuous functions such that su~~<~<i w(t, f)/o(t) < 00. It is possible to ex...

متن کامل

Cantor manifolds and compact spaces

Properties of Cantor manifolds that could arise in the quantum gravitational path integral are investigated. The spin geometry is compared to the intersection of Cantor sets. Given a network consisting of unions of Riemann surfaces in a superstring theory, the probable value of the number of dimensions is initially ten, and after compactification of six coordinates, the space-time would be expe...

متن کامل

Uniform Approximation and Maximal Ideal Spaces

Let X be a compact set in the z-plane. We are interested in two function spaces associated with X: C(X) — space of all continuous complex-valued functions on X. P(X) =space of all uniform limits of polynomials on X. Thus a function ƒ on X lies in P{X) if there exists a sequence {Pn} of polynomials converging to ƒ uniformly on X. Clearly P(X) is part of C(X). QUESTION I. When is P(X) = C(X)t i.e...

متن کامل

Deformation Spaces Associated to Compact Hyperbolic Manifolds

Recently, there has been considerable interest in spaces of locally homogeneous (or geometric) structures on smooth manifolds, motivated by Thurston [6, 7]. If M is a smooth manifold, we will let C(M) denote the space of conformai structures (with marking) on M and P(M) the space of projective structures (with marking) on M. Since these spaces are a measure of the complexity of the fundamental ...

متن کامل

Besov Spaces and Frames on Compact Manifolds

We show that one can characterize the Besov spaces on a smooth compact oriented Riemannian manifold, for the full range of indices, through a knowledge of the size of frame coefficients, using the smooth, nearly tight frames we have constructed in [8].

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1973

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1973-0324426-3