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Characterizations of Simply-connected Finite Polyhedra in 3-space
| Content Provider | Semantic Scholar |
|---|---|
| Author | Kong, T. Yung Roscoe, A. W. |
| Copyright Year | 2006 |
| Abstract | (i) Y is simply-connected (ii) The first (integral) homology group of Y is trivial (iii) The first (integral) Betti number of Y is zero (iv) The first (integral) cohomology group of Y is trivial (v) The Euler Characteristic of Y is equal to the number of components of S\ Y (vi) Y has one (and hence all six) of the Phragmen-Brouwer properties [6] (The Phragmen-Brouwer properties are listed in the Appendix.) |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://blms.oxfordjournals.org/cgi/reprint/17/6/575.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Betti number Betti's theorem Brouwer fixed-point theorem Emoticon Euler characteristic Homology (biology) Polyhedron |
| Content Type | Text |
| Resource Type | Article |