Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

Fixed point sets of homeomorphisms of metric products

- John R. Martin
- Mathematics
- 1 April 1988

In this paper it is investigated as to when a nonempty closed subset A of a metric product X containing intervals or spheres as factors can be the fixed point set of an autohomeomorphism of X. It is… Expand

COMPACT GROUPS AND FIXED POINT SETS

- A. Chigogidze, K. Hofmann, John R. Martin
- Mathematics
- 1997

Some structure theorems for compact abelian groups are derived and used to show that every closed subset of an infinite compact metrizable group is the fixed point set of an autohomeomorphism. It is… Expand

(L)-Semigroup Sums

- John R. Martin
- Mathematics, Computer Science
- Axioms
- 22 December 2018

TLDR

Möbius manifolds, monoids, and retracts of topological groups

- K. Hofmann, John R. Martin
- Mathematics
- 1 April 2015

The definition for an $$n$$n-dimensional Möbius manifold is given; $$n=2$$n=2 yields the classical Möbius band. For $$n=1, 2$$n=1,2 or $$4$$4, these manifolds are compact topological monoids, for… Expand

NOTES: Comparison of Ascent and Descent Times for a Vertically Projected Object

- John R. Martin
- Physics
- 1 March 1971

Covering space semigroups and retracts of compact Lie groups

- K. Hofmann, John R. Martin
- Mathematics
- 22 February 2016

If B is a compact connected Lie group and N a finite central subgroup, let $${f\colon B\to B/N}$$f:B→B/N be the associated covering morphism. The mapping cylinder $${{\mathrm{MC}}(f)}$$MC(f) is a… Expand

Fixed point sets of $1$-dimensional Peano continua.

- John R. Martin, E. Tymchatyn
- Mathematics
- 1 July 1980

It is shown that every nonempty closed subset of a 1dimensional Peano continuum X is the fixed point set of some continuous self-mapping of X.

On a $1$-dimensional planar continuum without the fixed point property

- John R. Martin
- Mathematics
- 1 December 1977

A generalization of absolute retracts

- John R. Martin
- Mathematics
- 1975

In this paper the concept of an absolute retract is generalized to a new concept which we call an absolute approximate retract. It is shown that for the class of compact metric spaces, the class of… Expand

Topology Proceedings 39 (2012) pp. 185-194: Topological Left-loops

In this note we define the concept of a topological leftloop which generalizes the notion of a topological loop, and we show that it is a useful tool in unifying arguments on traditional spaces of a… Expand

...

1

2

3

...