✦ LIBER ✦

On extensional dimension of maps

✍ Scribed by Michael Levin

Book ID: 104295566
Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 44 KB
Volume: 103
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(98)00158-8

No coin nor oath required. For personal study only.

✦ Synopsis

Let K be a CW-complex. A map f : X → Y of compacta X and Y is said to be of e-dim K if e-dim f -1 (y) K for every y ∈ Y . We prove that if e-dim f K then there exists a σ -compact subset A of X such that e-dim A K and f | X\A is 0-dimensional. This result is an analogue for extensional dimension of a well-known theorem of Torunczyk.

📜 SIMILAR VOLUMES

Light maps and extensional dimension

✍ A.N. Dranishnikov; V.V. Uspenskij 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 640 KB

We show that any light map f : X + Y between compact spaces admits a decomposition f = gh, where g : 2 + Y is a finite-to-one map of a special type and h : X + 2 has arbitrarily small fibers. It follows that light maps between compact spaces do not lower extensional dimension. Our theorem yields a p

Some mapping theorems for extensional di

Some mapping theorems for extensional dimension

✍ Michael Levin; Wayne Lewis 📂 Article 📅 2003 🏛 The Hebrew University Magnes Press 🌐 English ⚖ 738 KB

On the Order Dimension of Outerplanar Ma

On the Order Dimension of Outerplanar Maps

✍ Stefan Felsner; Johan Nilsson 📂 Article 📅 2010 🏛 Springer Netherlands 🌐 English ⚖ 474 KB

The Order Dimension of Planar Maps

✍ Brightwell, Graham R.; Trotter, William T. 📂 Article 📅 1997 🏛 Society for Industrial and Applied Mathematics 🌐 English ⚖ 303 KB

On the pluricanonical maps of varieties

On the pluricanonical maps of varieties of intermediate Kodaira dimension

✍ Xiaodong Jiang 📂 Article 📅 2012 🏛 Springer 🌐 English ⚖ 548 KB

Regularity of Wave-Maps in Dimension 2

✍ Jacob Sterbenz; Daniel Tataru 📂 Article 📅 2010 🏛 Springer 🌐 English ⚖ 390 KB