Fundamental notions of analysis in subsystems of second-order arithmetic

Annals of Pure and Applied Logic 139 (1):138-184 (2006)
Abstract
We develop fundamental aspects of the theory of metric, Hilbert, and Banach spaces in the context of subsystems of second-order arithmetic. In particular, we explore issues having to do with distances, closed subsets and subspaces, closures, bases, norms, and projections. We pay close attention to variations that arise when formalizing definitions and theorems, and study the relationships between them
Keywords No keywords specified (fix it)
Categories No categories specified
(categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 11,105
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA
Citations of this work BETA
Jeremy Avigad (2009). The Metamathematics of Ergodic Theory. Annals of Pure and Applied Logic 157 (2):64-76.
Similar books and articles
Analytics

Monthly downloads

Added to index

2009-01-28

Total downloads

7 ( #186,359 of 1,101,779 )

Recent downloads (6 months)

4 ( #81,958 of 1,101,779 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.