NSF Org:	DMS Division Of Mathematical Sciences
Recipient:	UNIVERSITY OF KENTUCKY RESEARCH FOUNDATION, THE
Initial Amendment Date:	June 12, 1987
Latest Amendment Date:	April 28, 1988
Award Number:	8702991
Award Instrument:	Continuing Grant
Program Manager:	Ralph M. Krause DMS  Division Of Mathematical Sciences MPS  Directorate for Mathematical and Physical Sciences
Start Date:	July 1, 1987
End Date:	December 31, 1989 (Estimated)
Total Intended Award Amount:	$55,700.00
Total Awarded Amount to Date:	$55,700.00
Funds Obligated to Date:	FY 1987 = $27,500.00 FY 1988 = $28,200.00
History of Investigator:	Steven Ferry (Principal Investigator) sferry@math.rutgers.edu
Recipient Sponsored Research Office:	University of Kentucky 500 S LIMESTONE LEXINGTON KY  US  40526-0001 (859)257-9420
Sponsor Congressional District:	06
Primary Place of Performance:	DATA NOT AVAILABLE
Primary Place of Performance Congressional District:
Unique Entity Identifier (UEI):	H1HYA8Z1NTM5
Parent UEI:
NSF Program(s):	TOPOLOGY
Primary Program Source:
Program Reference Code(s):
Program Element Code(s):	126700
Award Agency Code:	4900
Fund Agency Code:	4900
Assistance Listing Number(s):	47.049

ABSTRACT

Ferry plans to study problems in several areas of geometric topology. The problems are concerned with constructing closed manifolds containing a given open manifold as a codimension-zero submanifold, characterizing open subsets of Euclidean space, studying which open manifolds may be deformed into each other via Hurewicz fibrations, and finding when a map with acyclic homotopy fiber is homotopic to a map with acyclic point-inverses. Understanding 3-manifolds is particularly valuable, since they are the natural setting for studying many questions about our physical habitat.

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