Some recent applications of ultrafilters to topology
Locally compact realcompactifications
Quasianalytic functions in the sense of Bernstein
CONTENTS1. Introduction................................................................................................................ 32. The extremal function.............................................................................................. 83. Some lemmas on polynomials............................................................................. 124. Category theorems in topological groups........................................................... 165. Best approximation in Banach...
Categories, groupoids, pseudogroups and analytical structures
CONTENTSIntroduction................................................................................................................................................. 3I. TERMS AND NOTATION....................................................................................................................... 5II. GROUPOIDS AND CATEGORIES...................................................................................................... 61. The notion of groupoid............................................................................................................................
Metric generalizations of Banach algebras
CONTENTSPRELIMINARIES§ 0. Introduction.......................................................................................................................................................................3§ 1. Definitions and notation.................................................................................................................................................5Chapter ILOCALLY BOUNDED ALGEBRAS§ 2. Basic facts and examples..............................................................................................................................................6§...
Lattices with real numbers as additive operators
CONTENTSIntroduction............................... 5Paragraph 1............................... 6Paragraph 2............................... 13Paragraph 3............................... 21Paragraph 4............................... 27Paragraph 5............................... 36Paragraph 6............................... 42Paragraph 7............................... 52Paragraph 8............................... 60Paragraph 9............................... 70References....................................
Unitary dilations of contraction operators
ContentsPreliminaries.................................................................................... 31. Notation and definitions............................................................. 62. Simple unitary dilations............................................................. 83. Dilation theorem.......................................................................... 124. Unitary dilation of a single contractions.................................. 225. Decomposition theorems............................................................
On the metamathematics of impredicative set theory
CONTENTSIntroduction....................................................................................... 50. Set theory M.................................................................................. 61. Reflection principles in M.......................................................... 122. The trees....................................................................................... 183. Ordinal trees. Constructibility in M........................................... 254. Minimal model...
Pre-supports of linear probability measures and linear Lusin measurable functionals
CONTENTS1. Introduction, review of the results, examples...................................................................................52. Linear probability measures and their representations................................................................103. Linear Lusin measurable functionals...............................................................................................164. Pre-supports and a modification of the definition of the linear probability measure................235....
Mécanique des solides isotropes au delà du domaine élastique
Les ensembles projectifs et analytiques
Les propriétés topologiques du plan euclidien
Categories of continuous function spaces
Remarks on free objects in categories
Über die verallgemeinerten uniformen Strukturen von Morita und ihre Vervollständigung
Über gewisse Klassen von Modularraümen
Contraction of some spaces of homeomorphisms
On reflective and coreflective subcategories of LIM, LUN, and LVEC
Some remarks on paracompactness of GO-spaces
Disconnections of plane continua
The paper deals with locally connected continua in the Euclidean plane. Theorem 1 asserts that there exists a simple closed curve in that separates two given points , of if there is a subset of (a point or an arc) with this property. In Theorem 2 the two points , are replaced by two closed and connected disjoint subsets , . Again – under some additional preconditions – the existence of a simple closed curve disconnecting and is stated.
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