Special usages of to iu??

[Dante12]

こぎれいではあるがだんらんのない家庭という檻の中に、つながれているという思いがつのった。

Can anyone here please explain to me the usages of to iu here?? to iu in this sentence doesn't seem to make any sense to me.....because from what i know to iu is a quote marker...but the usages of to iu here is a bit diff from the usual quote marker...
So if anyone knows here, can u please explain it to me?? I will really appreciate any help available....

and does kogirei dewa aru means having a nice home??

THANK YOU!

 

[undrentide]

Kogirei means neat, shipshape, clean, etc.
Danran is often used to describe a family, that is happy.
So "kogirei dewaaru ga danran no nai katei" means the home is well-kept, nicely clean but it lacks in family hapiness.
The speaker compares that home to a cage.

～という思い : a feeling/thought that is.....
～という檻 : a cage that is.....

To iu here indicate that its preceding clause explains the noun that follows.

The speaker has a feeling that he is chained in a cage which is a home which is nice and clean but without happiness. and the feeling is growing/mounting inside himself.

≪【こぎれいではあるがだんらんのない家庭】という【檻】の中に 、つながれている≫という≪思い≫がつのった。

 

[Dante12]

undrentide, I cant thank you enough!! U really have been a great help to me!!! THANK YOU!!! I really cant express my gratitude enough here.. Once again, THANK YOU!! I really appreciate your help..

 

[undrentide]

undrentide, I cant thank you enough!! U really have been a great help to me!!! THANK YOU!!! I really cant express my gratitude enough here.. Once again, THANK YOU!! I really appreciate your help..

どういたしまして！
You're welcome!

 

[Dante12]

Ermmm...I sincerely apologized for this but it seems that I forgot to include the qns of the usage of de as in こぎれいではあるが.

I cant seem to understand the usage of de here that follows kogirei...

 

[KrazyKat]

Its from である＝だ（です） the は there is contrastive.

 

[yamada]

こぎれいではあるがだんらんのない家庭という檻の中に、つながれているという思いがつのった。
Can anyone here please explain to me the usages of to iu here??

yeah, to iu here is preceding clause.