N ov 2 00 2 SMOOTH FREE INVOLUTION OF H C P 3 AND SMITH CONJECTURE FOR IMBEDDINGS OF S 3 IN S 6
نویسنده
چکیده
This paper establishes an equivalence between existence of free involutions on HCP 3 and existence of involutions on S with fixed point set an imbedded S, then a family of counterexamples of the Smith conjecture for imbeddings of S in S are given by known result on HCP . In addition, this paper also shows that every smooth homotopy complex projective 3-space admits no orientation preserving smooth free involution, which answers an open problem [Pe]. Moreover, the study of existence problem for smooth orientation preserving involutions on HCP 3 is completed.
منابع مشابه
5 Smooth Free Involution of H C P 3 and Smith Conjecture for Imbeddings of S 3 in S 6
This paper establishes an equivalence between existence of free involutions on HCP 3 and existence of involutions on S with fixed point set an imbedded S, then a family of counterexamples of the Smith conjecture for imbeddings of S in S are given by known result on HCP . In addition, this paper also shows that every smooth homotopy complex projective 3-space admits no orientation preserving smo...
متن کاملEvaluation of Midwifery Student's Attitude, Performance and Satisfaction from teaching clinical skills with the Video in Hamedan School of Nursing and Midwifery (2019)
1. Duncan I, Yarwood-Ross L, Haigh C..YouTube as a source of clinical skills education. Nurse Eduction. .2013; 33 (12): 1576–1580 2. Arguel ., Jamet E. Using video and static pictures to improve learning of procedural contents.Comput. Hum. Behav.2008; 25 (2):354–359. 3. Johnson N, List-Ivankovic J, Eboh W, Ireland ., Adams D, Mowatt E, Martindale S. Research and evidence based pra...
متن کاملar X iv : a st ro - p h / 03 11 54 8 v 1 2 4 N ov 2 00 3 Resolution of the MACHO - LMC - 5 Puzzle : The Jerk - Parallax Microlens Degeneracy
By extending the constant-acceleration analysis of Smith, Mao, & Paczy´nski to include jerk, I show that microlens parallax measurements are subject to a four-fold discrete degeneracy. The new degeneracy is characterized by a projected velocity˜v j = −(3/4) csc β(cos 2 ψ sin 2 β + sin 2 ψ) 3/2 v ⊕ , where β is the ecliptic latitude , ψ is the phase of the Earth's orbit relative to opposition at...
متن کاملFinite Complexes with Vanishing Lines of Small Slope
a p–local CW–complex with H∗X a finite dimensional Fp–vector space. Then there is an integer NX (see 2.5) depending on H ∗X as a graded vector space and: (1) For p = 2, if P s t H ∗X 6= 0 for all P s t ∈ A with s < t, then X∧NX has a non–trivial stable summand Y such that H∗Y is A–free. (2) For p 6= 2, if P s t HX 6= 0 for all P s t ∈ A with s < t and QtHX 6= 0 for all Qt ∈ A, then X∧NX has a n...
متن کاملA Proof of the Two-path Conjecture
Let G be a connected graph that is the edge-disjoint union of two paths of length n, where n ≥ 2. Using a result of Thomason on decompositions of 4-regular graphs into pairs of Hamiltonian cycles, we prove that G has a third path of length n. The “two-path conjecture” states that if a graph G is the edge-disjoint union of two paths of length n with at least one common vertex, then the graph has...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002