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Measure and category : a survey of the analogies between topological and measure spaces / John C. Oxtoby
| Measure and category : a survey of the analogies between topological and measure spaces / John C. Oxtoby |
| Autore | Oxtoby, John C. |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | New York, : Springer, 1980 |
| Descrizione fisica | IX, 106 p. ; 24 cm |
| Soggetto topico |
26-XX - Real functions [MSC 2020]
26A21 - Classification of real functions; Baire classification of sets and functions [MSC 2020] 28-XX - Measure and integration [MSC 2020] 28A05 - Classes of sets (Borel fields, $\sigma$-rings, etc.), measurable sets, Suslin sets, analytic sets [MSC 2020] 28A12 - Contents, measures, outer measures, capacities [MSC 2020] 28C15 - Set functions and measures on topological spaces (regularity of measures, etc.) [MSC 2020] 54-XX - General topology [MSC 2020] 54C50 - Topology of special sets defined by functions [MSC 2020] 54E50 - Complete metric spaces [MSC 2020] 54E52 - Baire category, Baire spaces [MSC 2020] 54H05 - Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) [MSC 2020] |
| Soggetto non controllato |
Algebra
Automorphisms Category Homological Algebra Measure Measurement theory Set of first category Sets Topological spaces Topology |
| ISBN | 978-03-87905-08-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00054044 |
Oxtoby, John C.
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| New York, : Springer, 1980 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Measure and category : a survey of the analogies between topological and measure spaces / John C. Oxtoby
| Measure and category : a survey of the analogies between topological and measure spaces / John C. Oxtoby |
| Autore | Oxtoby, John C. |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | New York, : Springer, 1980 |
| Descrizione fisica | ix, 106 p. ; 24 cm |
| Soggetto topico |
26-XX - Real functions [MSC 2020]
26A21 - Classification of real functions; Baire classification of sets and functions [MSC 2020] 28-XX - Measure and integration [MSC 2020] 28A05 - Classes of sets (Borel fields, $\sigma$-rings, etc.), measurable sets, Suslin sets, analytic sets [MSC 2020] 28A12 - Contents, measures, outer measures, capacities [MSC 2020] 28C15 - Set functions and measures on topological spaces (regularity of measures, etc.) [MSC 2020] 54-XX - General topology [MSC 2020] 54C50 - Topology of special sets defined by functions [MSC 2020] 54E52 - Baire category, Baire spaces [MSC 2020] 54H05 - Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) [MSC 2020] |
| Soggetto non controllato |
Algebra
Automorphisms Category Homological Algebra Measure Measurement theory Set of first category Sets Topological spaces Topology |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | In this edition, a set of Supplementary Notes and Remarks has been added at the end, grouped according to chapter. Some of these call attention to subsequent developments, others add further explanation or additional remarks. Most of the remarks are accompanied by a briefly indicated proof, which is sometimes different from the one given in the reference cited. The list of references has been expanded to include many recent contributions, but it is still not intended to be exhaustive. John C. Oxtoby Bryn Mawr, April 1980 Preface to the First Edition This book has two main themes: the Baire category theorem as a method for proving existence, and the "duality" between measure and category. The category method is illustrated by a variety of typical applications, and the analogy between measure and category is explored in all of its ramifications. To this end, the elements of metric topology are reviewed and the principal properties of Lebesgue measure are derived. It turns out that Lebesgue integration is not essential for present purposes-the Riemann integral is sufficient. Concepts of general measure theory and topology are introduced, but not just for the sake of generality. Needless to say, the term "category" refers always to Baire category; it has nothing to do with the term as it is used in homological algebra. |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00268350 |
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Oxtoby, John C.
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| New York, : Springer, 1980 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Topological fixed point theory for singlevalued and multivalued mappings and applications / Afif Ben Amar, Donal O’Regan
| Topological fixed point theory for singlevalued and multivalued mappings and applications / Afif Ben Amar, Donal O’Regan |
| Autore | Ben Amar, Afif |
| Pubbl/distr/stampa | [Cham], : Springer, 2016 |
| Descrizione fisica | X, 194 p. ; 24 cm |
| Altri autori (Persone) | O'Regan, Donal |
| Soggetto topico |
47-XX - Operator theory [MSC 2020]
47H10 - Fixed-point theorems [MSC 2020] 41A65 - Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) [MSC 2020] 46A03 - General theory of locally convex spaces [MSC 2020] 47H04 - Set-valued operators [MSC 2020] 54H25 - Fixed-point and coincidence theorems (topological aspects) [MSC 2020] 47J10 - Nonlinear spectral theory, nonlinear eigenvalue problems [MSC 2020] 47H08 - Measures of noncompactness and condensing mappings, $K$-set contractions, etc. [MSC 2020] 46A50 - Compactness in topological linear spaces; angelic spaces, etc. [MSC 2020] |
| Soggetto non controllato |
Banach algebras
Banach spaces Convex spaces Eigenvalue problems Game Theory Integral equations Multivalued maps Operator algebras Ordinary differential equations Partial differential equations Singlevalued maps Topological spaces Weak noncompactness Weakly sequentially closed graph |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0115453 |
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Ben Amar, Afif
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| [Cham], : Springer, 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Topological fixed point theory for singlevalued and multivalued mappings and applications / Afif Ben Amar, Donal O’Regan
| Topological fixed point theory for singlevalued and multivalued mappings and applications / Afif Ben Amar, Donal O’Regan |
| Autore | Ben Amar, Afif |
| Pubbl/distr/stampa | [Cham], : Springer, 2016 |
| Descrizione fisica | X, 194 p. ; 24 cm |
| Altri autori (Persone) | O'Regan, Donal |
| Soggetto topico |
41A65 - Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) [MSC 2020]
46A03 - General theory of locally convex spaces [MSC 2020] 46A50 - Compactness in topological linear spaces; angelic spaces, etc. [MSC 2020] 47-XX - Operator theory [MSC 2020] 47H04 - Set-valued operators [MSC 2020] 47H08 - Measures of noncompactness and condensing mappings, $K$-set contractions, etc. [MSC 2020] 47H10 - Fixed-point theorems [MSC 2020] 47J10 - Nonlinear spectral theory, nonlinear eigenvalue problems [MSC 2020] 54H25 - Fixed-point and coincidence theorems (topological aspects) [MSC 2020] |
| Soggetto non controllato |
Banach algebra
Banach spaces Convex spaces Eigenvalue problems Game Theory Integral equations Multivalued maps Operator algebras Ordinary Differential Equations Partial Differential Equations Singlevalued maps Topological spaces Weak noncompactness Weakly sequentially closed graph |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00115453 |
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Ben Amar, Afif
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| [Cham], : Springer, 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Topological model theory / Jorg Flum, Martin Ziegler
| Topological model theory / Jorg Flum, Martin Ziegler |
| Autore | Flum, Jörg |
| Pubbl/distr/stampa | Berlin, : Springer, 1980 |
| Descrizione fisica | X, 149 p. ; 24 cm |
| Altri autori (Persone) | Ziegler, Martin |
| Soggetto topico |
03D35 - Undecidability and degrees of sets of sentences [MSC 2020]
03B60 - Other nonclassical logic [MSC 2020] 03C90 - Nonclassical models (Boolean-valued, sheaf, etc.) [MSC 2020] 12Lxx - Connections between field theory and logic [MSC 2020] |
| Soggetto non controllato |
Model
Model theory Topological spaces |
| ISBN | 978-35-400-9732-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0094210 |
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Flum, Jörg
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| Berlin, : Springer, 1980 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Topological model theory / Jorg Flum, Martin Ziegler
| Topological model theory / Jorg Flum, Martin Ziegler |
| Autore | Flum, Jörg |
| Pubbl/distr/stampa | Berlin, : Springer, 1980 |
| Descrizione fisica | X, 149 p. ; 24 cm |
| Altri autori (Persone) | Ziegler, Martin |
| Soggetto non controllato |
Model
Model theory Topological spaces |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNICAMPANIA-VAN0261728 |
|
Flum, Jörg
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||
| Berlin, : Springer, 1980 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Topological model theory / Jorg Flum, Martin Ziegler
| Topological model theory / Jorg Flum, Martin Ziegler |
| Autore | Flum, Jörg |
| Pubbl/distr/stampa | Berlin, : Springer, 1980 |
| Descrizione fisica | X, 149 p. ; 24 cm |
| Altri autori (Persone) | Ziegler, Martin |
| Soggetto topico |
03B60 - Other nonclassical logic [MSC 2020]
03C90 - Nonclassical models (Boolean-valued, sheaf, etc.) [MSC 2020] 03D35 - Undecidability and degrees of sets of sentences [MSC 2020] 12Lxx - Connections between field theory and logic [MSC 2020] |
| Soggetto non controllato |
Model
Model theory Topological spaces |
| ISBN | 978-35-400-9732-7 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00094210 |
|
Flum, Jörg
|
||
| Berlin, : Springer, 1980 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Topological model theory / Jorg Flum, Martin Ziegler
| Topological model theory / Jorg Flum, Martin Ziegler |
| Autore | Flum, Jörg |
| Pubbl/distr/stampa | Berlin, : Springer, 1980 |
| Descrizione fisica | X, 149 p. ; 24 cm |
| Altri autori (Persone) | Ziegler, Martin |
| Soggetto topico |
03-XX - Mathematical logic and foundations [MSC 2020]
03Cxx - Model theory [MSC 2020] 12Jxx - Topological fields [MSC 2020] 13Jxx - Topological rings and modules [MSC 2020] 22-XX - Topological groups, Lie groups [MSC 2020] 22Axx - Topological and differentiable algebraic systems [MSC 2020] 46A16 - Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) [MSC 2020] 54-XX - General topology [MSC 2020] 54A05 - Topological spaces and generalizations (closure spaces, etc.) [MSC 2020] 54D10 - Lower separation axioms ($T_0$–$T_3$, etc.) [MSC 2020] |
| Soggetto non controllato |
Model
Model theory Topological spaces |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00261728 |
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Flum, Jörg
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||
| Berlin, : Springer, 1980 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Topology / Marco Manetti
| Topology / Marco Manetti |
| Autore | Manetti, Marco |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | Cham, : Springer, 2023 |
| Descrizione fisica | xiv, 377 p. : ill. ; 24 cm |
| Soggetto non controllato |
Compact spaces
Covering space Fundamental groups Topological spaces van Kampen theorem |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0279640 |
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Manetti, Marco
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| Cham, : Springer, 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
| ||
Topology / Marco Manetti
| Topology / Marco Manetti |
| Autore | Manetti, Marco |
| Edizione | [2. ed] |
| Pubbl/distr/stampa | Cham, : Springer, 2023 |
| Descrizione fisica | xiv, 377 p. : ill. ; 24 cm |
| Soggetto topico |
00A05 - Mathematics in general [MSC 2020]
54-XX - General topology [MSC 2020] 55-XX - Algebraic topology [MSC 2020] |
| Soggetto non controllato |
Compact spaces
Covering space Fundamental groups Topological spaces van Kampen theorem |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN00279640 |
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Manetti, Marco
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| Cham, : Springer, 2023 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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