Real analysis, quantitative topology, and geometric complexity

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

Real Analysis, Quantitative Topology, and Geometric Complexity

In this paper, we give an overview of some topics involving behavior of homeomorphisms and ways in which real analysis can arise in geometric settings.

متن کامل

Computability and Complexity over the Product Topology of Real Numbers

Kawamura and Cook have developed a framework for studying the computability and complexity theoretic problems over “large” topological spaces. This framework has been applied to study the complexity of the differential operator and the complexity of functionals over the space of continuous functions on the unit interval C[0, 1]. In this paper we apply the ideas of Kawamura and Cook to the produ...

متن کامل

Surgery and Geometric Topology

Ideas from the theory of topological stability of smooth maps are trans ported into the controlled topological category For example the controlled topologi cal equivalence of maps is discussed These notions are related to the classi cation of manifold approximate brations and manifold strati ed approximate brations In turn these maps form a bundle theory which can be used to describe neighborho...

متن کامل

Geometric Complexity - 1 Geometric Complexity and Minimum Description Length Principle

The question of how one should decide among competing explanations of data is at the heart of the scientific enterprise. Quantitative methods of selecting among models have been advanced over the years without an underlying theoretical framework to guide the enterprise and evaluate new developments. In this paper, we show that differential geometry provides a unified understanding of the model ...

متن کامل

Data Analysis using Computational Topology and Geometric Statistics

Mathematical scientists of diverse backgrounds are being asked to apply the techniques of their specialty to data which is greater in both size and complexity than that which has been studied previously. Large, high-dimensional data sets, for which traditional linear methods are inadequate, pose challenges in representation, visualization, interpretation and analysis. A common finding is that t...

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: Publicacions Matemàtiques

سال: 2001

ISSN: 0214-1493

DOI: 10.5565/publmat_45201_01