Counterexamples for your calculus course
We present 2 theorems and 20 counterexamples illustrating the surprising behaviour of functions between metric spaces.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-06-01
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| Series: | Examples and Counterexamples |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666657X25000047 |
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| _version_ | 1832087323139899392 |
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| author | Jürgen Appell Simon Reinwand |
| author_facet | Jürgen Appell Simon Reinwand |
| author_sort | Jürgen Appell |
| collection | DOAJ |
| description | We present 2 theorems and 20 counterexamples illustrating the surprising behaviour of functions between metric spaces. |
| format | Article |
| id | doaj-art-21a4ed3687304e48976681923e5d2f8e |
| institution | Kabale University |
| issn | 2666-657X |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Examples and Counterexamples |
| spelling | doaj-art-21a4ed3687304e48976681923e5d2f8e2025-02-06T05:12:53ZengElsevierExamples and Counterexamples2666-657X2025-06-017100177Counterexamples for your calculus courseJürgen Appell0Simon Reinwand1University of Würzburg, Faculty of Artificial Intelligence, Emil-Fischer-Str. 30, D-97974 Würzburg, Germany; Corresponding author.TNG Technology Consulting GmbH, Beta-Str. 13, D-85774 Unterföhring, GermanyWe present 2 theorems and 20 counterexamples illustrating the surprising behaviour of functions between metric spaces.http://www.sciencedirect.com/science/article/pii/S2666657X25000047Open mapsClosed mapsClosed graph theoremOscillation functionsAbsolutely continuous functionsBaire class one functions |
| spellingShingle | Jürgen Appell Simon Reinwand Counterexamples for your calculus course Examples and Counterexamples Open maps Closed maps Closed graph theorem Oscillation functions Absolutely continuous functions Baire class one functions |
| title | Counterexamples for your calculus course |
| title_full | Counterexamples for your calculus course |
| title_fullStr | Counterexamples for your calculus course |
| title_full_unstemmed | Counterexamples for your calculus course |
| title_short | Counterexamples for your calculus course |
| title_sort | counterexamples for your calculus course |
| topic | Open maps Closed maps Closed graph theorem Oscillation functions Absolutely continuous functions Baire class one functions |
| url | http://www.sciencedirect.com/science/article/pii/S2666657X25000047 |
| work_keys_str_mv | AT jurgenappell counterexamplesforyourcalculuscourse AT simonreinwand counterexamplesforyourcalculuscourse |