Morphisms which are continuous on a neighborhood of the base of a groupoid

M. Buneci

doi:10.1556/sscmath.42.2005.3.2

Jump to Content

Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 42: Issue 3

Morphisms which are continuous on a neighborhood of the base of a groupoid

Author:

M. Buneci

M. Buneci University Constantin Brâncuşi of Târgu-Jiu Bulevardul Republicii, Nr. 1 210152 Târgu-Jiu România

Search for other papers by M. Buneci in
Current site
Google Scholar
PubMed

View More View Less

Pages:: 265–276

Online Publication Date:: 19 Sep 2005

Publication Date:: 01 Sep 2005

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/sscmath.42.2005.3.2

Keywords:: Primary 22A22; 28C99; Topological groupoid; morphism

Restricted access

Purchase article

USD $30.00

1 year subscription (Individual Only)

USD $800.00

USD $30.00

Click here to view the full Terms and Conditions

USD $800.00

Click here to view the full Terms and Conditions

Kirill Mackenzie raised in [3] (p. 31) the following question: given a morphism F : Ω → Ω′, where Ω and Ω′ are topological groupoids and F is continuous on a neighborhood of the base in Ω, is it true that is Ω continuous everywhere?This paper gives a negative answer to that question. Moreover, we shall prove that for a locally compact groupoid Ω with non-singleton orbits and having open target projection, if we assume that the continuity of every morphism F on a neighborhood of the base in Ω implies the continuity of F everywhere, then the groupoid Ω must be locally transitive.

Save
Cite
Email this content

Share Link

Copy this link, or click below to email it to a friend
Email this content
or copy the link directly:

https://akjournals.com/abstract/journals/012/42/3/article-p265.xml
The link was not copied. Your current browser may not support copying via this button.

Link copied successfully

Collapse
Expand

Studia Scientiarum Mathematicarum Hungarica

Print ISSN:: 0081-6906

Online ISSN:: 1588-2896

Editors in Chief

Gábor SIMONYI (Rényi Institute of Mathematics)
András STIPSICZ (Rényi Institute of Mathematics)
Géza TÓTH (Rényi Institute of Mathematics)

Managing Editor

Gábor SÁGI (Rényi Institute of Mathematics)

Editorial Board

Imre BÁRÁNY (Rényi Institute of Mathematics)
Károly BÖRÖCZKY (Rényi Institute of Mathematics and Central European University)
Péter CSIKVÁRI (ELTE, Budapest)
Joshua GREENE (Boston College)
Penny HAXELL (University of Waterloo)
Andreas HOLMSEN (Korea Advanced Institute of Science and Technology)
Ron HOLZMAN (Technion, Haifa)
Satoru IWATA (University of Tokyo)
Tibor JORDÁN (ELTE, Budapest)
Roy MESHULAM (Technion, Haifa)
Frédéric MEUNIER (École des Ponts ParisTech)
Márton NASZÓDI (ELTE, Budapest)
Eran NEVO (Hebrew University of Jerusalem)
János PACH (Rényi Institute of Mathematics)
Péter Pál PACH (BME, Budapest)
Andrew SUK (University of California, San Diego)
Zoltán SZABÓ (Princeton University)
Martin TANCER (Charles University, Prague)
Gábor TARDOS (Rényi Institute of Mathematics)
Paul WOLLAN (University of Rome "La Sapienza")

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
Gábor Sági
Address: P.O. Box 127, H–1364 Budapest, Hungary
Phone: (36 1) 483 8344 ---- Fax: (36 1) 483 8333
E-mail: smh.studia@renyi.mta.hu

Indexing and Abstracting Services:

CABELLS Journalytics
CompuMath Citation Index
Essential Science Indicators
Mathematical Reviews
Science Citation Index Expanded (SciSearch)
SCOPUS
Zentralblatt MATH

2024
Scopus
CiteScore
CiteScore rank
SNIP
Scimago
SJR index	0.305
SJR Q rank	Q3

2023
Web of Science
Journal Impact Factor	0.4
Rank by Impact Factor	Q4 (Mathematics)
Journal Citation Indicator	0.49
Scopus
CiteScore	1.3
CiteScore rank	Q2 (General Mathematics)
SNIP	0.705
Scimago
SJR index	0.239
SJR Q rank	Q3

Studia Scientiarum Mathematicarum Hungarica
Publication Model	Hybrid
Submission Fee	none
Article Processing Charge	900 EUR/article (only for OA publications)
Printed Color Illustrations	40 EUR (or 10 000 HUF) + VAT / piece
Regional discounts on country of the funding agency	World Bank Lower-middle-income economies: 50% World Bank Low-income economies: 100%
Further Discounts	Editorial Board / Advisory Board members: 50% Corresponding authors, affiliated to an EISZ member institution subscribing to the journal package of Akadémiai Kiadó: 100%
Subscription fee 2025	Online subsscription: 796 EUR / 876 USD Print + online subscription: 900 EUR / 988 USD
Subscription Information	Online subscribers are entitled access to all back issues published by Akadémiai Kiadó for each title for the duration of the subscription, as well as Online First content for the subscribed content.
Purchase per Title	Individual articles are sold on the displayed price.

Studia Scientiarum Mathematicarum Hungarica
Language	English French German
Size	B5
Year of Foundation	1966
Volumes per Year	1
Issues per Year	4
Founder	Magyar Tudományos Akadémia
Founder's Address	H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher	Akadémiai Kiadó
Publisher's Address	H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
Responsible Publisher	Chief Executive Officer, Akadémiai Kiadó
ISSN	0081-6906 (Print)
ISSN	1588-2896 (Online)