التفاصيل البيبلوغرافية
| العنوان: |
Sections of maps with fibers homeomorphic to a two-dimensional manifold |
| المؤلفون: |
N. Brodsky |
| المصدر: |
Topology and its Applications. (1-2):77-83 |
| بيانات النشر: |
Elsevier Science B.V. |
| مصطلحات موضوعية: |
Serre spectral sequence, Discrete mathematics, Pure mathematics, Conjecture, Serre fibration, Fibration, Mathematics::General Topology, 2-dimensional manifold, Base (topology), Graph approximations, Manifold, Homeomorphism, Section (fiber bundle), Selection of multivalued mapping, Geometry and Topology, Constant (mathematics), Mathematics |
| الوصف: |
Consider a Serre fibration p :E→B which has constant (up to a homeomorphism) fibers p −1 ( b ), b ∈ B . Shchepin's Conjecture. A Serre fibration with a metric locally arcwise connected base is locally trivial if it has a low-dimensional (of dimension n ⩽4) compact manifold as a constant fiber. This paper makes a first step toward proving Shchepin's Conjecture in dimension n =2. We say that a Serre fibration p :E→B admits local sections, if for every point b ∈ B there exists a section of p over some neighborhood of b . The main result of this paper is the following Theorem 4.4. Let p :E→B be a Serre fibration of LC 0 -compacta with a constant fiber which is a compact two-dimensional manifold. If B ∈ANR, then p admits local sections. |
| اللغة: |
English |
| تدمد: |
0166-8641 |
| DOI: |
10.1016/S0166-8641(01)00009-8 |
| URL الوصول: |
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7add780ea7222c1cedfb3d5fc50cd2e9 |
| Rights: |
OPEN |
| رقم الانضمام: |
edsair.doi.dedup.....7add780ea7222c1cedfb3d5fc50cd2e9 |
| قاعدة البيانات: |
OpenAIRE |