On Fundamental Groups of Quotient Spaces

Title:
On Fundamental Groups of Quotient Spaces
Authors:
Calcut, Jack S.; Gompf, Robert E.; McCarthy, John D.
Abstract:
In classical covering space theory, a covering map induces an injection of fundamental groups. This paper reveals a dual property for certain quotient maps having connected fibers, with applications to orbit spaces of vector fields and leaf spaces in general.
Citation:
Calcut, Jack S., Robert E. Gompf, and John D. McCarthy. 2012. "On fundamental groups of quotient spaces." Topology and Its Applications 159(1): 322-30.
Publisher:
Elsevier
DATE ISSUED:
2012-01-01
Department:
Mathematics
Type:
article
Additional Links:
http://journals.ohiolink.edu/ejc/article.cgi?issn=01668641&issue=v159i0001&article=322_ofgoqs
PERMANENT LINK:
http://hdl.handle.net/11282/310150

Full metadata record

DC FieldValue Language
dc.contributor.authorCalcut, Jack S.en_US
dc.contributor.authorGompf, Robert E.en_US
dc.contributor.authorMcCarthy, John D.en_US
dc.date.accessioned2013-12-23T16:26:48Zen
dc.date.available2013-12-23T16:26:48Zen
dc.date.issued2012-01-01en
dc.identifier.citationCalcut, Jack S., Robert E. Gompf, and John D. McCarthy. 2012. "On fundamental groups of quotient spaces." Topology and Its Applications 159(1): 322-30.en_US
dc.identifier.issn0166-8641en_US
dc.identifier.urihttp://hdl.handle.net/11282/310150en
dc.description.abstractIn classical covering space theory, a covering map induces an injection of fundamental groups. This paper reveals a dual property for certain quotient maps having connected fibers, with applications to orbit spaces of vector fields and leaf spaces in general.en_US
dc.language.isoen_USen_US
dc.publisherElsevieren_US
dc.relation.urlhttp://journals.ohiolink.edu/ejc/article.cgi?issn=01668641&issue=v159i0001&article=322_ofgoqsen_GB
dc.subject.departmentMathematicsen_US
dc.titleOn Fundamental Groups of Quotient Spacesen_US
dc.typearticleen_US
dc.identifier.journalTopology and its Applicationsen_US
dc.subject.keywordPrimaryen_US
dc.subject.keyword54B15en_US
dc.subject.keywordSecondaryen_US
dc.subject.keyword57M05en_US
dc.subject.keyword37C10en_US
dc.subject.keyword55U10en_US
dc.subject.keywordVietoris mapping theoremen_US
dc.subject.keywordHomotopyen_US
dc.subject.keywordFundamental groupen_US
dc.subject.keywordQuotient mapen_US
dc.subject.keywordConnected fiberen_US
dc.subject.keywordOrbit spaceen_US
dc.subject.keywordHawaiian earringen_US
dc.subject.keywordSemilocally simply-connecteden_US
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