On Triangulations of the 3 Ball And the Solid Torus
On Triangulations of the 3 Ball And the Solid Torus
The book On Triangulations of the 3 Ball And the Solid Torus was written by author Here you can read free online of On Triangulations of the 3 Ball And the Solid Torus book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is On Triangulations of the 3 Ball And the Solid Torus a good or bad book?
Where can I read On Triangulations of the 3 Ball And the Solid Torus for free?
In our eReader you can find the full English version of the book. Read On Triangulations of the 3 Ball And the Solid Torus Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book On Triangulations of the 3 Ball And the Solid Torus
In our eReader you can find the full English version of the book. Read On Triangulations of the 3 Ball And the Solid Torus Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book On Triangulations of the 3 Ball And the Solid Torus
What reading level is On Triangulations of the 3 Ball And the Solid Torus book?
To quickly assess the difficulty of the text, read a short excerpt:
. . , u 9, then all the boundary triangles of M are incident on a vertex, i. E. , M is the star of a vertex, which is a contradiction.
Case 3: Assume v falls neither into Case 1 nor into Case 2. Then lk&(v) has k > 2 interior vertices. So p(v) > 2.
Combining the three cases, we see that Y^vP( v ) ^ 2n. D 3 Triangulation of Solid Torus In this section we prove an analogue of Theorem 1 for the solid torus. Both the main proof and the following lemma depend on Proof 1 above.
Lemma 1 There is no tr...iangulation of B 3 in which two tetrahedra that share a vertex v are of type 2, and the remaining tetrahedra are of type 1.
Proof: (We borrow notation from Proof 1 above. ) Assume A is a triangulation that contradicts the claim. One can easily show that lk^(v) contains a 2-ball C with relint(C) C int(B 3 ) and relbd(C) C d(B 3 ). C cuts A into two pieces, say A! and A2. Lk^(v) is contained in one of the pieces, say in A 2 . C must have an almost cutting triangle and arguing as in Proof 1, we find a cutting triangle T in Aj.
What to read after On Triangulations of the 3 Ball And the Solid Torus?
You can find similar books in the "Read Also" column, or choose other free books by Geza Bohus to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
. . , u 9, then all the boundary triangles of M are incident on a vertex, i. E. , M is the star of a vertex, which is a contradiction.
Case 3: Assume v falls neither into Case 1 nor into Case 2. Then lk&(v) has k > 2 interior vertices. So p(v) > 2.
Combining the three cases, we see that Y^vP( v ) ^ 2n. D 3 Triangulation of Solid Torus In this section we prove an analogue of Theorem 1 for the solid torus. Both the main proof and the following lemma depend on Proof 1 above.
Lemma 1 There is no tr...iangulation of B 3 in which two tetrahedra that share a vertex v are of type 2, and the remaining tetrahedra are of type 1.
Proof: (We borrow notation from Proof 1 above. ) Assume A is a triangulation that contradicts the claim. One can easily show that lk^(v) contains a 2-ball C with relint(C) C int(B 3 ) and relbd(C) C d(B 3 ). C cuts A into two pieces, say A! and A2. Lk^(v) is contained in one of the pieces, say in A 2 . C must have an almost cutting triangle and arguing as in Proof 1, we find a cutting triangle T in Aj.
What to read after On Triangulations of the 3 Ball And the Solid Torus?
You can find similar books in the "Read Also" column, or choose other free books by Geza Bohus to read onlineMoreLess
Read book On Triangulations of the 3 Ball And the Solid Torus for free
You can download books for free in various formats, such as epub, pdf, azw, mobi, txt and others on book networks site. Additionally, the entire text is available for online reading through our e-reader. Our site is not responsible for the performance of third-party products (sites).
Write Review:
Guest
Read Also
8 / 10
7 / 10
User Reviews: