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Non-Hausdorff Ascoli theory

100%
Morales P.
Instytut Matematyczny Polskiej Akademii Nauk
EN
CONTENTS Introduction......................................................................................................................................... 5 Chapter I. THEORY IN CLASSICAL POEM FOB FUNCTIONS   1. Equicontinuity in quasi-uniform context................................................................... 6   2. Quasi-uniform convergence on compacta............................................................. 8   3. k-spaces and $k_3$,-spaces................................................................................... 9   4. A separating equivalence relation............................................................................ 11   5. Ascoli theorem............................................................................................................. 11 Chapter II. TOPOLOGICAL THEORY FOR MULTIFUNCTIONS   6. Preliminary lemmas for multifunctions................................................................... 14   7. Tychonoff theorem for multifunctions....................................................................... 16   8. Exponential law for multifunctions............................................................................ 18   9. Product of two k-spaces............................................................................................. 20   10. Non-Hausdorff theorem of the Gale type.............................................................. 21   11. Non-Hausdorff theorem of the Kelley—Morse type............................................ 24 Chapter III. UNIFORM THEORY FOR MULTIFUNCTIONS   12. Ascoli theorems......................................................................................................... 27   13. Reduction to function context.................................................................................. 32 References.................................................................................................................................................. 36
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A noncommutative version of a Theorem of Marczewski for submeasures

61%
de Lucia P., Morales P.
Studia Mathematica
|
1991-1992
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tom 101
|
nr 2
123-138
EN
It is shown that every monocompact submeasure on an orthomodular poset is order continuous. From this generalization of the classical Marczewski Theorem, several results of commutative Measure Theory are derived and unified.
3
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Decomposition of group-valued measures on orthoalgebras

61%
Lucia P. D., Morales P.
Fundamenta Mathematicae
|
1998
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tom 158
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nr 2
109-124
EN
We present a general decomposition theorem for a positive inner regular finitely additive measure on an orthoalgebra L with values in an ordered topological group G, not necessarily commutative. In the case where L is a Boolean algebra, we establish the uniqueness of such a decomposition. With mild extra hypotheses on G, we extend this Boolean decomposition, preserving the uniqueness, to the case where the measure is order bounded instead of being positive. This last result generalizes A. D. Aleksandrov's classical decomposition theorem.
4
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Correction to my paper "Topological contraction principle" (Fundamenta Mathematicae 110 (1980), pp. 135-144)

60%
Morales P.
Fundamenta Mathematicae
|
1984
|
tom 121
|
nr 2
177-178
5
Content available remote

Extension of group-valued set functions defined on lattices

43%
Fox G., Morales P.
Fundamenta Mathematicae
|
1983
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tom 116
|
nr 3
143-155
6
Content available remote

A generalization of Wienner's criteria for the continuity of a Borel measure

31%
Belley J.-M., Morales P.
Studia Mathematica
|
1982
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tom 72
|
nr 1
27-36
7
Content available remote

Strongly additive functions on lattices

31%
Fox G., Morales P.
Fundamenta Mathematicae
|
1973
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tom 78
|
nr 2
99-106
8
Content available remote

Topological contraction principle

30%
Morales P.
Fundamenta Mathematicae
|
1980
|
tom 110
|
nr 2
135-144
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