Log in
|
Help
|
English

English

Engish-Pirate

한국어

Search

Advanced Search

Find results with:

Add another field

Search by date

to

Searching collections:

CCSU Theses and Dissertations

Add or remove collections

Home Extending continuous functions defined on subsets of products

Reference URL

Share

Add tags

Comment

Rate

To link to this object, paste this link in email, IM or document

To embed this object, paste this HTML in website

Extending continuous functions defined on subsets of products

View Description

Download

small (250x250 max)

medium (500x500 max)

large ( > 500x500)

Full Resolution

Print

you wish to report:

Your comment:

Your Name:

Submit

Cancel

...

Back to top

Powered by CONTENTdm®

Select the collections to add or remove from your search

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

Select All Collections

C

CCSU Student Publications

CCSU Theses and Dissertations

G

GLBTQ Archives

M

Modern Language Oral Histories

O

O'Neill Archives Oral Histories

P

Polish American Pamphlets

T

Treasures from the Special Collections

V

Veterans History Project

OK

Cancel

Identifier	Thesis 2195
Author	Rivers, Douglas Michael, 1984-
Title	Extending continuous functions defined on subsets of products
Publisher	Central Connecticut State University
Date	2011; *
Resource Type	Master's Thesis
Notes	Let X and Z be topological spaces and Y be a subspace of X. A con- tinuous function f : Y ! Z is extendable to X if there exists a continuous function f : X ! Z such that f(x) = f(x) for all x 2 Y. If every continuous function f : Y ! Z is extendable to X then Y is called C(Z)-embedded in X. According to R. Engelking, \theorems that give su cient conditions for extendability of continuous mappings of continuous real-valued functions are among the most important ones in topology, and usually are rather di cult." In this thesis we analyze three such theorems by Milton Ulmer that ap- peared in his paper C-embedded -spaces, Paci c J. Math, 46 (1973), 591{ 602, and some results generalizing two of the Ulmer's theorems that appeared recently in two papers by W. W. Comfort and Ivan S. Gotchev: Continuous Mappings on Subspaces of Products with the -box Topology, Topology Appl. 156 (2009), No. 16, 2600{2608 and Continuous Extensions of Functions De ned on Subsets of Products, accepted for publication in Topology Appl. After that we formulate and prove a theorem that signi cantly generalizes two of the Ulmer's theorems and a theorem by W. W. Comfort and Ivan S. Gotchev. This contribution to the topic is a joint work with W. W. Comfort and Ivan S. Gotchev.
Subject	Topology Topological spaces
Department	Department of Mathematical Sciences
Advisor	Gotchev, Ivan S.
Type	Text
Digital Format	application/pdf
Language	eng
OCLC number	804653037
Rating

Find results with:

Searching collections:

Home Extending continuous functions defined on subsets of products

Extending continuous functions defined on subsets of products

Description

Tags

Comments