|
|||||
|
|
|
|
|
|
|
|
|
Images and pre-images
of localization maps
Arthur Herbert Copeland, Jr. and Albert Oscar Shar |
|
Vol. 57 (1975), No. 2, 349–358
|
Abstract |
|
This paper treats the induced function ℒ∗ : [X,Y ] → [X,Y P] when X and Y are spaces having “just enough” structure and ℒ : Y → Y P is a localization map. Special attention is paid to the images of finite subsets of [X,Y ] and the preimages of finite subsets of [X,Y P]. While our results are not restricted to finite [X,Y ] we do, as an immediate corollary of our main theorem, establish necessary and sufficient conditions for the finiteness of [X,Y P]. |
Mathematical Subject Classification
Primary: 55D99
|
Milestones
Received: 4 October 1974
Revised: 7 February 1975
Published: 1 April 1975
|
Authors |
| Arthur Herbert Copeland, Jr. | |
| Albert Oscar Shar | |
|
