Topic
End
About: End is a research topic. Over the lifetime, 58 publications have been published within this topic receiving 533 citations.
Papers published on a yearly basis
Papers
TL;DR: In this article, it is shown that the space of all proper or strictly proper p × m transfer functions of a fixed McMillan degreed has, in a natural way, the structure of a noncompact, smooth manifold.
Abstract: It is a classical result of Clark that the space of all proper or strictly properp ×m transfer functions of a fixed McMillan degreed has, in a natural way, the structure of a noncompact, smooth manifold. There is a natural embedding of this space into the set of allp × (m+p) autoregressive systems of degree at mostd. Extending the topology in a natural way we will show that this enlarged topological space is compact. Finally we describe a homogenization process which produces a smooth compactification.
72 citations
1 Jan 1976
TL;DR: In this article, the Stone-Cech compactification is used to produce short proofs of two theorems on the structure of free topological groups, namely, the free topology group on any Tychonoff space X contains, as a closed subspace, a homeomorphic copy of the product space X. This is a generalization of a result of B. V. Thomas.
Abstract: In this note the Stone-Cech compactification is used to produce short proofs of two theorems on the structure of free topological groups. The first is: The free topological group on any Tychonoff space X contains, as a closed subspace, a homeomorphic copy of the product space X. This is a generalization of a result of B. V. S. Thomas. The second theorem proved is C. Joiner’s, Fundamental Lemma.
25 citations
1 Jan 2004
TL;DR: In this article, a connected topological generalized group with e-generalized subgroups is studied and it is shown that topology generalized groups with e generalised subgroups are connected TGs with stable connected component under identity.
Abstract: In this paper, connected topological generalized groups are studied. We are going to show that: topological generalized groups with e-generalized subgroups are connected topological generalized groups. Connected factor spaces and stable connected component under identity are considered. 2000 Mathematical Subject Classification: 22A15, 22A20
24 citations
TL;DR: In this article, it was shown that the Roelcke compactification of Aut X can be identified with the semigroup of all closed relations on X whose domain and range are equal to X.
24 citations
TL;DR: The result suggests that if a topological space (Zn, τ) is not a Khalimsky space, then it will not satisfy the requirement to satisfy the Simplicial Approximation Theorem.
22 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2017 | 2 |
| 2016 | 1 |
| 2015 | 1 |
| 2014 | 3 |
| 2013 | 2 |
| 2012 | 1 |