Continuous transformations in analysis: with an introduction to algebraic topology
Gespeichert in:
Hauptverfasser: | , |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Berlin [u.a.]
Springer
1955
|
Schriftenreihe: | Die Grundlehren der mathematischen Wissenschaften
75 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | VI, 441 S. graph. Darst. |
Internformat
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245 | 1 | 0 | |a Continuous transformations in analysis |b with an introduction to algebraic topology |c by T. Radó and P. V. Reichelderfer |
264 | 1 | |a Berlin [u.a.] |b Springer |c 1955 | |
300 | |a VI, 441 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
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490 | 1 | |a Die Grundlehren der mathematischen Wissenschaften |v 75 | |
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Datensatz im Suchindex
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adam_text | Table of Contents.
Introduction.
Part I. Background in Topology.
§ 1.1. Survey of general topology 1
§ 1.2. Survey of Euclidean spaces 19
§ 1.3. Survey of Abelian groups 26
§ 1.4. Mayer complexes 30
§ I.5. Formal complexes 45
§ 1.6. General cohomology theory 63
§ 1.7. Cohomology groups in Euclidean spaces 98
Part II. Topological study of continuous transformations in It .
§11.1. Orientation in R 110
§ II.2. The topological index 120
§ II.3. Multiplicity functions and index functions 145
Part III. Background in Analysis.
§ III.i. Survey of functions of real variables 190
§ III.2. Functions of open intervals in R 201
Part IV. Bounded variation and absolute continuity in R .
§ IV. 1. Measurability questions 212
§ IV.2. Bounded variation and absolute continuity with respect to a base-
function 221
§ IV.3. Bounded variation and absolute continuity with respect to a multi¬
plicity function 232
§ IV.4. Essential bounded variation and absolute continuity 249
§ IV.5. Bounded variation and absolute continuity in the Banach sense . 277
Part V. Differentiable transformations in Hn.
§ V.I. Continuous transformations in if1 292
§ V.2. Local approximations in R 319
§ V.3. Special classes of differentiable transformations in R 349
Part VI. Continuous transformations in it2
§VI.1. The topological index in R2 377
§ VI.2. Special features of continuous transformations in if2 402
§ VI.3. Special classes of differentiable transformations in R2 415
Index 439
Bibliography 442
|
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indexdate | 2024-07-09T15:21:22Z |
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language | English |
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physical | VI, 441 S. graph. Darst. |
publishDate | 1955 |
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publisher | Springer |
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series | Die Grundlehren der mathematischen Wissenschaften |
series2 | Die Grundlehren der mathematischen Wissenschaften |
spelling | Radó, Tibor 1895-1965 Verfasser (DE-588)1025956125 aut Continuous transformations in analysis with an introduction to algebraic topology by T. Radó and P. V. Reichelderfer Berlin [u.a.] Springer 1955 VI, 441 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Die Grundlehren der mathematischen Wissenschaften 75 Topology Transformations (Mathematics) Analysis (DE-588)4001865-9 gnd rswk-swf Transformation Mathematik (DE-588)4060637-5 gnd rswk-swf Analysis (DE-588)4001865-9 s Transformation Mathematik (DE-588)4060637-5 s DE-604 Reichelderfer, Paul V. 1913-1996 Verfasser (DE-588)1116386216 aut Die Grundlehren der mathematischen Wissenschaften 75 (DE-604)BV000000395 75 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000567806&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Radó, Tibor 1895-1965 Reichelderfer, Paul V. 1913-1996 Continuous transformations in analysis with an introduction to algebraic topology Die Grundlehren der mathematischen Wissenschaften Topology Transformations (Mathematics) Analysis (DE-588)4001865-9 gnd Transformation Mathematik (DE-588)4060637-5 gnd |
subject_GND | (DE-588)4001865-9 (DE-588)4060637-5 |
title | Continuous transformations in analysis with an introduction to algebraic topology |
title_auth | Continuous transformations in analysis with an introduction to algebraic topology |
title_exact_search | Continuous transformations in analysis with an introduction to algebraic topology |
title_full | Continuous transformations in analysis with an introduction to algebraic topology by T. Radó and P. V. Reichelderfer |
title_fullStr | Continuous transformations in analysis with an introduction to algebraic topology by T. Radó and P. V. Reichelderfer |
title_full_unstemmed | Continuous transformations in analysis with an introduction to algebraic topology by T. Radó and P. V. Reichelderfer |
title_short | Continuous transformations in analysis |
title_sort | continuous transformations in analysis with an introduction to algebraic topology |
title_sub | with an introduction to algebraic topology |
topic | Topology Transformations (Mathematics) Analysis (DE-588)4001865-9 gnd Transformation Mathematik (DE-588)4060637-5 gnd |
topic_facet | Topology Transformations (Mathematics) Analysis Transformation Mathematik |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000567806&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000000395 |
work_keys_str_mv | AT radotibor continuoustransformationsinanalysiswithanintroductiontoalgebraictopology AT reichelderferpaulv continuoustransformationsinanalysiswithanintroductiontoalgebraictopology |