Skip to main content
Home
Browse All
Log in

Favorites

Help

English
English
EngishPirate
한국어
Search
Advanced Search
Find results with:
error div
Add another field
Search by date
Search by date:
from
after
before
on
from:
to
to:
Searching collections:
CCSU Theses and Dissertations
Add or remove collections
Home
CCSU Theses & Dissertations
Cardinal Numbers, Cardinal Functions, and PolŠapirovskii Technique
Reference URL
Share
Add tags
Comment
Rate
Save to favorites
Remove from favorites
To link to this object, paste this link in email, IM or document
To embed this object, paste this HTML in website
Cardinal Numbers, Cardinal Functions, and PolŠapirovskii Technique
View Description
Download
small (250x250 max)
medium (500x500 max)
Large
Extra Large
large ( > 500x500)
Full Resolution
Print
2363.pdf
Description
Identifier
Thesis
2564
Author
Plaza, Carlos S. (Carlos Steven), 1986
Title
Cardinal
Numbers
,
Cardinal
Functions
, and
PolŠapirovskii
Technique
Publisher
Central Connecticut State University
Date of Publication
2016
Resource Type
Master's Thesis
Abstract
General
Topology
is
a
branch
of
mathematics
that
studies
fundamental
notions
such
as
continuity
,
compactness
and
connectedness
which
are
needed
and
used
by
most
mathematicians
. The
concept
of a
topological
space
plays
a
central
role
in this
more
than
100
years
old
area
of
mathematics
. A
fundamental
question
in
General
Topology
is
when
two
topological
spaces
are
homeomorphic
, or
equivalent
, in the
sense
that they are not
topologically
distinguishable
.
Cardinal
numbers
and
cardinal
functions
are
often
used
to
answer
this
question
or to
help
gain
additional
insight
into the
characteristics
of the
topological
spaces
. For
example
, to
each
topological
space
one
could
assign
cardinal
numbers
that
represent
dierent
characteristics
of the
space
like
cardinality
of the
entire
space
, the
cardinality
of the
smallest
dense
set
it
contains
, etc.
Since
these
cardinal
characteristics
do
not
change
under
homeomorphisms
, they are
called
cardinal
invariants
.
One
can
also
think
about
each
such
cardinal
invariant
as a
function
that
assigns
to
each
topological
space
a
cardinal
number
(the
cardinality
of the
space
, for
example)
. That
is
why
they are
sometimes
called
cardinal
functions
. In this
thesis
the
reader
will and
some
basic
facts
from
Set
Theory
and
General
Topology
,
along
with
some
historical
remarks
. These
facts
are
included
into the
thesis
in
order
to
help
the
reader
understand
and
appreciate
some
fascinating
cardinal
inequalities
for
topological
spaces
expressed
in
terms
of
different
cardinal
functions
and also to
learn
about
their
methods
of
proof
,
including
the
so
called
PolSapirovskii
Technique
.
Notes
"
Submitted
in
partial
fulfillment
of the
requirements
for the
degree
of
Master
of
Arts
in
Mathematics

General
";
Thesis
advisor
:
Ian
Gocthev.
;
M.A.,Central
Connecticut
State
University,,2016.
;
Includes
bibliographical
references
(leaves
6971)
.
Subject
Topology.
Cardinal numbers.
Functions.
Department
Department of Mathematical Sciences
Advisor
Gotchev, Ivan S.
Type
Text
Software
System requirements: PC and World Wide Web browser.
Language
eng
OCLC number
968937104
Rating
Tags
Add tags
for Cardinal Numbers, Cardinal Functions, and PolŠapirovskii Technique
View as list

View as tag cloud

report abuse
Comments
Post a Comment
for
Cardinal Numbers, Cardinal Functions, and PolŠapirovskii Technique
Your rating was saved.
you wish to report:
Your comment:
Your Name:
...
Back to top
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
Polish Posters
T
Treasures from the Special Collections
V
Veterans History Project
500
You have selected:
1
OK
Cancel