Refine your search
Collections
Co-Authors
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z All
Deo, Satya
- Boundedly Metacompact or Finitistic Spaces and the Star Order of Covers
Abstract Views :251 |
PDF Views:0
Authors
Satya Deo
1,
David Gauld
2
Affiliations
1 Harish-Chandra Research Institute, Chhatnag Road, Jhusi Allahabad 211019, IN
2 The Department of Mathematics, The University of Auckland Private Bag 92019, Auckland, NZ
1 Harish-Chandra Research Institute, Chhatnag Road, Jhusi Allahabad 211019, IN
2 The Department of Mathematics, The University of Auckland Private Bag 92019, Auckland, NZ
Source
The Journal of the Indian Mathematical Society, Vol 83, No 1-2 (2016), Pagination: 43-59Abstract
In this paper we first show that the topological notion of boundedly metacompact (first named finitistic) is equivalent to metris - ability for a topological manifold, and then we study the related notions. In particular, we study the star order of covers of a space. This leads us to propose a definition of dimension which we call star covering dimension.Keywords
Finitistic, Boundedly Metacompact, Boundedly Paracompact, Star Order.
References
- Glen E. Bredon, Introduction to Compact Transformation Groups, Academic Press, 1972.
- Satya Deo and A. R. Pears, Completely finitistic spaces are finite dimensional. Bull. London Math. Soc., 17(1985), 49–51.
- Satya Deo and H. S. Tripathi, Compact Lie Group actions on finitistic spaces, Topology, 21(1982), 391–399.
- Dennis K. Burke, Covering Properties, in K Kunen and J Vaughan, eds, "Handbook of Set-Theoretic Topology," Elsevier, 1984, 347–422.
- C. H. Dowker, Mapping Theorems for Non-compact Spaces, Amer. J. Math., 69(1947), 200–242.
- P. Fletcher, R. A. McCoy and R. Slover, On Boundedly Metacompact and Boundedly Paracompact Spaces, Proc. Amer. Math. Soc., 25(1970), 335–342.
- David Gauld, Non-metrisable Manifolds, Springer, 2014.
- James R. Munkres, Topology, a First Course, Prentice-Hall, 1975.
- Peter Nyikos, The Theory of Nonmetrizable Manifolds, in K Kunen and J Vaughan, eds, “Handbook of Set-Theoretic Topology,”Elsevier, 1984, 634–684.
- A. R. Pears, Dimension Theory of General Spaces, Cambridge University Press, 1975.
- R. G. Swan, A new method in fixed point theory, Comment. Math. Helv. 34(1960), 1–16.
- Strongly Contractible Polyhedra which are Not Simply Contractible at n Points For any n≥ 2
Abstract Views :168 |
PDF Views:0
Authors
Affiliations
1 Harish-Chandra Research Institute (HRI), Chhatnag Road, Jhunsi, Allahabad-211 019, IN
1 Harish-Chandra Research Institute (HRI), Chhatnag Road, Jhunsi, Allahabad-211 019, IN
Source
The Journal of the Indian Mathematical Society, Vol 72, No 1-4 (2005), Pagination: 75-82Abstract
In this paper we study the concept of strict contractibility defined by E. Michael and construct an example stated in the title of the paper. We also give examples of compact metric spaces in Euclidean 3-space which are simply contractible at n points, for any n ≥ 1, but are not strongly contractible at those points.- Invariance of Dimension of Multivariate Spline Spaces
Abstract Views :171 |
PDF Views:0
Authors
Affiliations
1 Department of Mathematics and Computer Science, R.D. University, Jabalpur 482001, IN
1 Department of Mathematics and Computer Science, R.D. University, Jabalpur 482001, IN