"Big" Continuous Restrictions of Arbitrary Functions. Issue 6 (3rd July 2019)
- Record Type:
- Journal Article
- Title:
- "Big" Continuous Restrictions of Arbitrary Functions. Issue 6 (3rd July 2019)
- Main Title:
- "Big" Continuous Restrictions of Arbitrary Functions
- Authors:
- Ciesielski, K. C.
Martínez-Gómez, M. E.
Seoane-Sepúlveda, J. B. - Abstract:
- Abstract: We discuss an amazing 1922 result of Henry Blumberg that for an arbitrary f : R → R, there is a dense D ⊂ R such that the restriction f ↾ D is continuous . In particular, we provide a new short proof of this theorem.
- Is Part Of:
- American Mathematical Monthly. Volume 126:Issue 6(2019)
- Journal:
- American Mathematical Monthly
- Issue:
- Volume 126:Issue 6(2019)
- Issue Display:
- Volume 126, Issue 6 (2019)
- Year:
- 2019
- Volume:
- 126
- Issue:
- 6
- Issue Sort Value:
- 2019-0126-0006-0000
- Page Start:
- 547
- Page End:
- 552
- Publication Date:
- 2019-07-03
- Subjects:
- MSC: Primary 26A15 -- Secondary 26A27 -- 46J10
Mathematics -- Periodicals
510.5 - Journal URLs:
- https://www.tandfonline.com/loi/uamm20 ↗
http://www.tandfonline.com/ ↗ - DOI:
- 10.1080/00029890.2019.1586263 ↗
- Languages:
- English
- ISSNs:
- 0002-9890
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 10676.xml