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The orientability of matchbox manifolds.

- J. Aarts, C. Hagopian, L. Oversteegen
- Mathematics
- 1 September 1991

A separable and metrizable space X is a matchbox manifold if each point x of X has an open neighborhood which is homeomorphic to 4 x 1 for some zero-dimensional space Sx . Each arc component of a… Expand

11 3- PDF

On the Plane Fixed Point Problem

- C. Hagopian
- 2002

On the Plane Fixed Point Problem Gregory Chambers Master of Science Graduate Department of Mathematics University of Toronto 2010 Several conjectured and proven generalizations of the Brouwer Fixed… Expand

12 2- PDF

An update on the elusive fixed-point property

- C. Hagopian
- Mathematics
- 2007

Publisher Summary This chapter provides an overview of the elusive fixed-point property. R.H. Bing's expository article “The elusive fixed point property,” which appeared in the American Mathematical… Expand

7 1

The fixed-point property for deformations of tree-like continua

- C. Hagopian
- Mathematics
- 1998

Let f be a map of a tree-like continuum M that sends each arc-component of M into itself. We prove that f has a fixed point. Hence every tree-like continuum has the fixed-point property for… Expand

7 1- PDF

INDECOMPOSABLE HOMOGENEOUS PLANE CONTINUA ARE HEREDITARILY INDECOMPOSABLE

- C. Hagopian
- Mathematics
- 1 February 1976

F. Burton Jones [7] proved that every decomposable homogeneous plane continuum is either a simple closed curve or a circle of homogeneous nonseparating plane continua. Recently the author [5] showed… Expand

23 1- PDF

Characterizations of λ connected plane continua

- C. Hagopian
- Mathematics
- 1 December 1973

A continuum M is said to be λ connected if any two of its points can be joined by a hereditarily decomposable continuum in M. Here we characterize λ connected plane continua in terms of Jones'… Expand

6 1- PDF

Irreducible continua without the fixed-point property

- C. Hagopian
- Mathematics
- 2003

6 1

A fixed point theorem for hyperspaces of connected continua

- C. Hagopian
- Mathematics
- 1975

Suppose that the hyperspace of compact connected subsets C(X) of a X connected continuum X can be 6-mapped (for each t > 0) into the plane. We prove that X is either arc-like or circle-like. It… Expand

3- PDF

COMMON FIXED POINTS FOR TWO COMMUTING SURFACE HOMEOMORPHISMS

- C. Jeffries, M. Hirsch, C. Hagopian
- 2003

Let f and g be orientation-preserving surface homeomorphisms that commute under composition. Conditions are found ensuring that the fixed point set of f contains a fixed or periodic point for g.… Expand

2

The fixed-point property for almost chainable homogeneous continua

- C. Hagopian
- Mathematics
- 1 December 1976

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