Index Catalog // ScholarsArchive@OSU

An intrinsic codimension two cellular decomposition of the Hilbert cube

Creator:: Ghimire, Kailash C.
Abstract:: Cellular sets in the Hilbert cube are the intersection of nested sequences of normal cubes. One way of getting cellular maps on the Hilbert cube is by decomposing the Hilbert cube into cellular sets and using a quotient map. By using a cellular decomposition of the Hilbert cube, an example...
Resource Type:: Dissertation
Full Text:: Cellular Decomposition of the Hilbert Cube Abstract approved: Dennis J Garity Cellular sets in the

A thin codimension-one decomposition of the Hilbert Cube

Creator:: Phon-On, Aniruth
Abstract:: For cell-like upper semicontinuous(usc) decompositions G of finite dimensional manifolds M, the decomposition space M/G turns out to be an ANR provided M/G is finite dimensional ([Dav07], page 129 ). Furthermore, if M/G is finite dimensional and has the Disjoint Disks Property (DDP), then M/G is homeomorphic to M ([Dav07],...
Resource Type:: Dissertation
Full Text:: Abstract approved: Dennis J. Garity For cell-like upper semicontinuous(usc) decompositions G of finite

Detecting piecewise linear approximate fibrations

Creator:: Nam, Kiwon
Resource Type:: Dissertation

Homogeneity groups of ends of open 3-manifolds

Creator:: Garity, Dennis J. and Repovš, Dušan
Abstract:: For every finitely generated abelian group G, we construct an irreducible open 3-manifold M[subscript G] whose end set is homeomorphic to a Cantor set and whose homogeneity group is isomorphic to G. The end homogeneity group is the group of self-homeomorphisms of the end set that extend to homeomorphisms of...
Resource Type:: Article
Full Text:: .2014.269.99 HOMOGENEITY GROUPS OF ENDS OF OPEN 3-MANIFOLDS DENNIS J. GARITY AND DUŠAN REPOVŠ For every

Inequivalent Cantor sets in 𝑅³ whose complements have the same fundamental group

Creator:: Garity, Dennis J. and Repovš, Dušan
Abstract:: For each Cantor set C in R³, all points of which have bounded local genus, we show that there are infinitely many inequivalent Cantor sets in R³ with the complement having the same fundamental group as the complement of C. This answers a question from Open Problems in Topology and...
Resource Type:: Article
Full Text:: INEQUIVALENT CANTOR SETS IN R3 WHOSE COMPLEMENTS HAVE THE SAME FUNDAMENTAL GROUP DENNIS J. GARITY AND DUŠAN

Chaotic embedding of the Whitehead continuum

Creator:: Jubran, Isa S.
Resource Type:: Dissertation

Simply connected open 3-manifolds with rigid genus one ends

Creator:: Garity, Dennis, Repovš, Dušan, and Wright, David
Abstract:: We construct uncountably many simply connected open 3-manifolds with genus one ends homeomorphic to the Cantor set. Each constructed manifold has the property that any self homeomorphism of the manifold (which necessarily extends to a homeomorphism of the ends) fixes the ends pointwise. These manifolds are complements of rigid generalized...
Resource Type:: Article
Full Text:: . of Math. (2) 43 (1942), 261–279. MR 0006504 (3,315a) [GRWŽ11] Dennis J. Garity, Dušan Repovš

Collision probabilities of convex polygons in spherical two-space

Creator:: Treuden, Mark Richard
Resource Type:: Dissertation

On the Structure of the Orbit Spaces of Almost Torus Manifolds with Non-negative Curvature

Creator:: Dong, Zheting
Abstract:: An almost torus manifold $M$ is a closed $(2n+1)$-dimensional orientable Riemannian manifold with an effective, isometric $n$-torus action such that the fixed point set $M^T$ is non-empty. Almost torus manifolds are analogues of torus manifolds in odd dimension and share many of the characteristics of torus manifolds. For example, both...
Resource Type:: Dissertation

Triangular billiards surfaces and translation covers

Creator:: Schmurr, Jason Peter
Abstract:: We identify all translation covers among triangular billiards surfaces. Our main tools are the J-invariant of Kenyon and Smillie and a property of triangular billiards surfaces, which we call fingerprint type, that is invariant under balanced translation covers.
Resource Type:: Dissertation
Full Text:: translation overs among triangular billiards surfa es. Our main toolsare the J-invariant of Kenyon and

ScholarsArchive@OSU

An intrinsic codimension two cellular decomposition of the Hilbert cube

A thin codimension-one decomposition of the Hilbert Cube

Detecting piecewise linear approximate fibrations

Homogeneity groups of ends of open 3-manifolds

Inequivalent Cantor sets in 𝑅³ whose complements have the same fundamental group

Chaotic embedding of the Whitehead continuum

Simply connected open 3-manifolds with rigid genus one ends

Collision probabilities of convex polygons in spherical two-space

On the Structure of the Orbit Spaces of Almost Torus Manifolds with Non-negative Curvature

Triangular billiards surfaces and translation covers

Limit your search

Academic Affiliation

Advisor

Commencement Year

Committee Member

Conference Name

Conference Section/Track

Creator

Contributor

Date

Decade

Degree Field

Degree Level

Degree Name

File Format

Language

License

Location

Non-Academic Affiliation

Peer Reviewed

Resource Type

Rights Statement

Subject

Search Constraints

Search Results

Limit your search