Homeomorphisms on compact metric spaces with finite derived length

The sets of periodic points of self homeomorphisms on an ordinal of finite derived length are characterised, thus characterising the same for homeomorphisms on compact metric spaces with finite derived length. A partition of ordinal is introduced to study this problem which is also used to solve two...

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Main Authors:	V Kannan, Sharan Gopal
Format:	Article
Language:	English
Published:	Universitat Politècnica de València 2016-10-01
Series:	Applied General Topology
Subjects:	ordinal homeomorphism periodic point
Online Access:	http://polipapers.upv.es/index.php/AGT/article/view/4593

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spelling	doaj-504054e550414d0a8acf85c5b358c0342020-11-24T22:25:53ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472016-10-0117212913710.4995/agt.2016.45934835Homeomorphisms on compact metric spaces with finite derived lengthV Kannan0Sharan Gopal1University of HyderabadBirla Institute of Technology and Science - Pilani, Hyderabad campusThe sets of periodic points of self homeomorphisms on an ordinal of finite derived length are characterised, thus characterising the same for homeomorphisms on compact metric spaces with finite derived length. A partition of ordinal is introduced to study this problem which is also used to solve two more problems: one about an equivalence relation and the other about a group action, both on an ordinal of finite derived length.http://polipapers.upv.es/index.php/AGT/article/view/4593ordinalhomeomorphismperiodic point
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	V Kannan Sharan Gopal
spellingShingle	V Kannan Sharan Gopal Homeomorphisms on compact metric spaces with finite derived length Applied General Topology ordinal homeomorphism periodic point
author_facet	V Kannan Sharan Gopal
author_sort	V Kannan
title	Homeomorphisms on compact metric spaces with finite derived length
title_short	Homeomorphisms on compact metric spaces with finite derived length
title_full	Homeomorphisms on compact metric spaces with finite derived length
title_fullStr	Homeomorphisms on compact metric spaces with finite derived length
title_full_unstemmed	Homeomorphisms on compact metric spaces with finite derived length
title_sort	homeomorphisms on compact metric spaces with finite derived length
publisher	Universitat Politècnica de València
series	Applied General Topology
issn	1576-9402 1989-4147
publishDate	2016-10-01
description	The sets of periodic points of self homeomorphisms on an ordinal of finite derived length are characterised, thus characterising the same for homeomorphisms on compact metric spaces with finite derived length. A partition of ordinal is introduced to study this problem which is also used to solve two more problems: one about an equivalence relation and the other about a group action, both on an ordinal of finite derived length.
topic	ordinal homeomorphism periodic point
url	http://polipapers.upv.es/index.php/AGT/article/view/4593
work_keys_str_mv	AT vkannan homeomorphismsoncompactmetricspaceswithfinitederivedlength AT sharangopal homeomorphismsoncompactmetricspaceswithfinitederivedlength
_version_	1725755867119222784

Homeomorphisms on compact metric spaces with finite derived length

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