×

### Let's log you in.

or

Don't have a StudySoup account? Create one here!

×

or

by: Reyes Glover

83

0

1

# REAL ANALYSIS I M 365C

Reyes Glover
UT
GPA 3.67

Kenneth Chu

These notes were just uploaded, and will be ready to view shortly.

Either way, we'll remind you when they're ready :)

Get a free preview of these Notes, just enter your email below.

×
Unlock Preview

COURSE
PROF.
Kenneth Chu
TYPE
Class Notes
PAGES
1
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 1 page Class Notes was uploaded by Reyes Glover on Sunday September 6, 2015. The Class Notes belongs to M 365C at University of Texas at Austin taught by Kenneth Chu in Fall. Since its upload, it has received 83 views. For similar materials see /class/181447/m-365c-university-of-texas-at-austin in Mathematics (M) at University of Texas at Austin.

×

## Reviews for REAL ANALYSIS I

×

×

### What is Karma?

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 09/06/15
ZermeloFraenkel Choice ZFC Set Theory Axioms If 1 Empty Set Axiom There exists a set Q which contains no elements 2 Extension Axiom Two sets are identical if they have the same elements 3 Pair Axiom If x y are sets then there is a set x y whose elements are x and y 4 Union Axiom If x is a set of sets then there exists a set U 3 whose elements are the elements of the elements of x 5 Power Set Axiom If x is a set then there exists a set 79x whose elements are the subsets of x 6 Selection Axiom Let a be a set and let qb be a quotstatementquot involving one free variable 3 Then there exists a set b whose elements are the elements as of a such that qbx is true ie b x E a I is true 7 Replacement Axiom Let a be a set and 11x y be a statment involving two free variables such that for any 3 there exists at most one y that satisfies 11x y Then I y 11xy holds for some 10 E a iS a set 8 Axiom of Infinity There exists a set a such that Q E a and x E a whenever x E a 9 Foundation Axiom For any nonempty set 3 there exists y E x such that x m y Q I This axiom prevents Russel s paradox 10 The Axiom of Choice AC p 1

×

×

### BOOM! Enjoy Your Free Notes!

×

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

Bentley McCaw University of Florida

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Anthony Lee UC Santa Barbara

#### "I bought an awesome study guide, which helped me get an A in my Math 34B class this quarter!"

Bentley McCaw University of Florida

Forbes

#### "Their 'Elite Notetakers' are making over \$1,200/month in sales by creating high quality content that helps their classmates in a time of need."

Become an Elite Notetaker and start selling your notes online!
×

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com