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DICTIONARY

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adjective

verb

adverb

pronoun

preposition

conjunction

determiner

exclamation

The definition of homeomorphic in the **dictionary** is *having the same crystal form but different chemical composition.* Other definition of homeomorphic is *having a one-to-one correspondence, continuous in both directions.*

actinomorphic

ˌæktɪnəʊˈmɔːfɪk

anamorphic

ˌænəˈmɔːfɪk

anthropomorphic

ˌænθrəpəˈmɔːfɪk

automorphic

ˌɔːtəʊˈmɔːfɪk

biomorphic

ˌbaɪəʊˈmɔːfɪk

dimorphic

daɪˈmɔːfɪk

dysmorphic

dɪsˈmɔːfɪk

geomorphic

ˌdʒiːəʊˈmɔːfɪk

holomorphic

ˌhɒləˈmɔːfɪk

homomorphic

ˌhɒməˈmɔːfɪk

hypomorphic

ˌhaɪpəˈmɔːfɪk

isomorphic

ˌaɪsəʊˈmɔːfɪk

meromorphic

ˌmɛrəʊˈmɔːfɪk

mesomorphic

ˌmɛsəʊˈmɔːfɪk

metamorphic

ˌmɛtəˈmɔːfɪk

monomorphic

ˌmɒnəʊˈmɔːfɪk

pleomorphic

ˌpliːəˈmɔːfɪk

polymorphic

ˌpɒlɪˈmɔːfɪk

pseudomorphic

ˌsjuːdəʊˈmɔːfɪk

zoomorphic

ˌzəʊəʊˈmɔːfɪk

homeobox

homeobox gene

homeomeric

homeomerous

homeomery

homeomorph

homeomorphism

homeomorphous

homeomorphy

homeopath

homeopathic

homeopathically

homeopathist

homeopathy

homeosis

homeostases

homeostasis

homeostatic

homeoteleuton

homeotherm

ectomorphic

enantiomorphic

endomorphic

ergatomorphic

geographic

homoeomorphic

hydromorphic

hystricomorphic

idiomorphic

isodimorphic

ophiomorphic

ornithomorphic

Orphic

panidiomorphic

protomorphic

skeuomorphic

theriomorphic

trimorphic

xenomorphic

xeromorphic

zygomorphic

SYNONYMS

TRANSLATOR

ar

280 millions of speakers

vi

80 millions of speakers

el

15 millions of speakers

af

14 millions of speakers

sv

10 millions of speakers

no

5 millions of speakers

TRENDS

0

100%

FREQUENCY

Regularly used

51

/100
EXAMPLES

1

Real Analysis
(f ) In R, any two intervals that look alike are **homeomorphic**. [ 0, 1 ] and [ a, b ] are
**homeomorphic**, as are (0, 1) and (a. b). The interval (0, 1) is also **homeomorphic**
to R, and (0, 1 ] is **homeomorphic** to [a, b). Why? [Hint: The map x H> 2 - 3x is a ...

N. L. Carothers, **2000**

2

General Topology
Thus, the relation “is **homeomorphic** to" is an equivalence relation on any set of
topological spaces. The reader might profit from thinking, at this point, about the
question: is there a set of all topological spaces? To prove two spaces are ...

Stephen Willard, **2004**

3

Essential Topology
For example, if we take the region of S2 to the south of the equator (or any fixed
latitude), then this is **homeomorphic** to a disc (closed or open according to
whether or not we include the equator) under stereographic projection. So, for
example ...

Martin D. Crossley, **2006**

4

General Topology
(b) Any two closed intervals are **homeomorphic**, and any two half- open intervals
are **homeomorphic**. (c) No open interval is **homeomorphic** to a closed or half-
open interval, and no closed interval is **homeomorphic** to a half-open interval.

John L. Kelley, **1975**

5

Mathematical Analysis: Linear and Metric Structures and ...
6.72 ![. Show that the unit circle S1 of R2 is not **homeomorphic** to R. [Hint:
Suppose h : S1 — > R is a homeomorphism and let io £ S1. Then S1 \ {xo} is
connected, while R \ {h(xo)} is not connected.] 6.73 Theorem. In R each closed
interval is ...

Mariano Giaquinta, Giuseppe Modica, **2007**

6

A Basic Course in Algebraic Topology
Such an open tube or cylinder is **homeomorphic** to a sphere with two holes cut in
it, and forming the connected sum of S with a sphere does not change anything.
Thus, the space resulting from the first stage is **homeomorphic** to the original ...

William S. Massey, **1991**

7

Intuitive Topology
The closed interval / = [0, 1] and the open interval / = (0,1) are not **homeomorphic**.
Assume the converse and let /:/-»/ be a homeomorphism. The point 1 does not
divide the closed interval / , i.e., after it is removed any two remaining points can ...

Viktor Vasilʹevich Prasolov, **1995**

8

A Topological Aperitif
than 1, to the whole of Rn. In particular the open interval ] − 1,1[ is **homeomorphic**
to the whole real line. In the next two examples we make use of the transitivity
property of being **homeomorphic**: if S is **homeomorphic** to T,andT is ...

Stephen Huggett, David Jordan, **2009**

9

Elementary Topology
We intuitively feel, however, that if n # m, then R" is not **homeomorphic** to R“. In
order to confirm our intuitive feeling, we would have to find some topological
property of R" which is not possessed by R“. In its full generality, this problem is
not ...

Michael C. Gemignani, **1972**

10

Geometry and Topology
Is this the Holy Grail? Bitglass gets patent for searchability over …

... or currently impracticable **homeomorphic** approaches that propose new algorithms from scratch," Bitglass CEO Nat Kausik said. "The Bitglass ... «Network World, Jul 15»

Bitglass Granted Patent on Unique Searchable, Full Strength Cloud …

... weak cyclic ciphers from the Roman empire or currently impracticable **homeomorphic** approaches that propose new algorithms from scratch," ... «IT Business Net, Jul 15»

What Is Topology?

Two objects that can be stretched into the same shape are described as **homeomorphic**, from Latinized Greek for “similar to” (homeo-) and ... «Live Science, Jun 15»

Top Hash Theory

It doesn't matter: so long as they all connect to the right places, it will be **homeomorphic** to Merkle's original projection, preserving its invariant ... «newsBTC, May 15»

Nkrumah Did Not Force His Views On African Leaders 6

In other words there exists a **homeomorphic** correlation between a line and a circle. Between the line and the circle is an “infinite” range or ... «GhanaWeb, May 15»

Biopower and Security

... through which the subject can ostensibly liberate herself, while in fact such narratives, just like the **homeomorphic** surface of the Möbius strip, ... «CounterPunch, May 15»

Homer's Last Theorem

They are considered to be **homeomorphic**, or topological twins, because a square drawn on a rubber sheet can be transformed into a circle by ... «Boing Boing, Oct 14»

The Simpsons Is Much Smarter About Math Than You Ever Would …

They are considered to be **homeomorphic**, or topological twins, because a square drawn on a rubber sheet can be transformed into a circle by ... «Slate Magazine, Oct 13»

Is chess not for everybody?

... closed three-manifold is **homeomorphic** to the three-sphere”. To avoid citing it, magazines started making up simplifications featuring balls, ... «Chessbase News, Jul 12»

Book Review: The Poincare Conjecture: In Search of the Shape of …

If a 3-manifold is homotopy equivalent to the 3-sphere, then it is **homeomorphic** to it. A homeomorphism or topological isomorphism or ... «Blogcritics.org, Jan 12»

REFERENCE

« EDUCALINGO. *Homeomorphic* [online]. Available <https://educalingo.com/en/dic-en/homeomorphic>. Dec 2019 ».